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Finding the Fourth Proportional to 762.69, 1,052.45 and 431.14

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Solution

The fourth proportional to 762.69, 1,052.45 and 431.14 is: 594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.69 : 1,052.45 = 431.14 : x
  2. Step 2: Convert to fraction form
    762.69/1,052.45 = 431.14/x
  3. Step 3: Cross multiply
    762.69x = 1,052.45 × 431.14
  4. Step 4: Simplify right side
    762.69x = 453,751.14
  5. Step 5: Solve for x
    x = 453,751.14/762.69
  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.