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Finding the Fourth Proportional to 762.74, 1,052.71 and 431.27

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Solution

The fourth proportional to 762.74, 1,052.71 and 431.27 is: 595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.74 : 1,052.71 = 431.27 : x
  2. Step 2: Convert to fraction form
    762.74/1,052.71 = 431.27/x
  3. Step 3: Cross multiply
    762.74x = 1,052.71 × 431.27
  4. Step 4: Simplify right side
    762.74x = 453,995.90
  5. Step 5: Solve for x
    x = 453,995.90/762.74
  6. Step 6: Final answer
    x = 595.22

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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.