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Finding the Fourth Proportional to 1,589.64, 2,384.54 and 494.75

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Solution

The fourth proportional to 1,589.64, 2,384.54 and 494.75 is: 742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.64 : 2,384.54 = 494.75 : x
  2. Step 2: Convert to fraction form
    1,589.64/2,384.54 = 494.75/x
  3. Step 3: Cross multiply
    1,589.64x = 2,384.54 × 494.75
  4. Step 4: Simplify right side
    1,589.64x = 1,179,736.77
  5. Step 5: Solve for x
    x = 1,179,736.77/1,589.64
  6. Step 6: Final answer
    x = 742.14

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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.