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Finding the Fourth Proportional to 754.82, 1,132.10 and 292.80

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Solution

The fourth proportional to 754.82, 1,132.10 and 292.80 is: 439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.82 : 1,132.10 = 292.80 : x
  2. Step 2: Convert to fraction form
    754.82/1,132.10 = 292.80/x
  3. Step 3: Cross multiply
    754.82x = 1,132.10 × 292.80
  4. Step 4: Simplify right side
    754.82x = 331,477.42
  5. Step 5: Solve for x
    x = 331,477.42/754.82
  6. Step 6: Final answer
    x = 439.15

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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.