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Finding the Fourth Proportional to 765.73, 1,147.06 and 354.31

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Solution

The fourth proportional to 765.73, 1,147.06 and 354.31 is: 530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.73 : 1,147.06 = 354.31 : x
  2. Step 2: Convert to fraction form
    765.73/1,147.06 = 354.31/x
  3. Step 3: Cross multiply
    765.73x = 1,147.06 × 354.31
  4. Step 4: Simplify right side
    765.73x = 406,414.83
  5. Step 5: Solve for x
    x = 406,414.83/765.73
  6. Step 6: Final answer
    x = 530.75

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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.