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Finding the Fourth Proportional to 762.70, 1,052.46 and 431.14

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Solution

The fourth proportional to 762.70, 1,052.46 and 431.14 is: 594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.70 : 1,052.46 = 431.14 : x
  2. Step 2: Convert to fraction form
    762.70/1,052.46 = 431.14/x
  3. Step 3: Cross multiply
    762.70x = 1,052.46 × 431.14
  4. Step 4: Simplify right side
    762.70x = 453,757.60
  5. Step 5: Solve for x
    x = 453,757.60/762.70
  6. Step 6: Final answer
    x = 594.94

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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.