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Finding the Fourth Proportional to 1,589.42, 2,384.13 and 723.13

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Solution

The fourth proportional to 1,589.42, 2,384.13 and 723.13 is: 1,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.42 : 2,384.13 = 723.13 : x
  2. Step 2: Convert to fraction form
    1,589.42/2,384.13 = 723.13/x
  3. Step 3: Cross multiply
    1,589.42x = 2,384.13 × 723.13
  4. Step 4: Simplify right side
    1,589.42x = 1,724,024.01
  5. Step 5: Solve for x
    x = 1,724,024.01/1,589.42
  6. Step 6: Final answer
    x = 1,084.69

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.