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Finding the Fourth Proportional to 765.34, 1,145.47 and 658.42

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Solution

The fourth proportional to 765.34, 1,145.47 and 658.42 is: 985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.34 : 1,145.47 = 658.42 : x
  2. Step 2: Convert to fraction form
    765.34/1,145.47 = 658.42/x
  3. Step 3: Cross multiply
    765.34x = 1,145.47 × 658.42
  4. Step 4: Simplify right side
    765.34x = 754,200.36
  5. Step 5: Solve for x
    x = 754,200.36/765.34
  6. Step 6: Final answer
    x = 985.44

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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.