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Finding the Fourth Proportional to 765.55, 1,148.13 and 354.29

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Solution

The fourth proportional to 765.55, 1,148.13 and 354.29 is: 531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.55 : 1,148.13 = 354.29 : x
  2. Step 2: Convert to fraction form
    765.55/1,148.13 = 354.29/x
  3. Step 3: Cross multiply
    765.55x = 1,148.13 × 354.29
  4. Step 4: Simplify right side
    765.55x = 406,765.24
  5. Step 5: Solve for x
    x = 406,765.24/765.55
  6. Step 6: Final answer
    x = 531.34

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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.