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Finding the Fourth Proportional to 765.16, 1,147.84 and 354.24

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Solution

The fourth proportional to 765.16, 1,147.84 and 354.24 is: 531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.16 : 1,147.84 = 354.24 : x
  2. Step 2: Convert to fraction form
    765.16/1,147.84 = 354.24/x
  3. Step 3: Cross multiply
    765.16x = 1,147.84 × 354.24
  4. Step 4: Simplify right side
    765.16x = 406,610.84
  5. Step 5: Solve for x
    x = 406,610.84/765.16
  6. Step 6: Final answer
    x = 531.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.