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Finding the Fourth Proportional to 1,152.19, 1,589.96 and 654.76

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Solution

The fourth proportional to 1,152.19, 1,589.96 and 654.76 is: 903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.19 : 1,589.96 = 654.76 : x
  2. Step 2: Convert to fraction form
    1,152.19/1,589.96 = 654.76/x
  3. Step 3: Cross multiply
    1,152.19x = 1,589.96 × 654.76
  4. Step 4: Simplify right side
    1,152.19x = 1,041,034.26
  5. Step 5: Solve for x
    x = 1,041,034.26/1,152.19
  6. Step 6: Final answer
    x = 903.53

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.