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Finding the Fourth Proportional to 765.22, 1,146.87 and 331.87

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Solution

The fourth proportional to 765.22, 1,146.87 and 331.87 is: 497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.22 : 1,146.87 = 331.87 : x
  2. Step 2: Convert to fraction form
    765.22/1,146.87 = 331.87/x
  3. Step 3: Cross multiply
    765.22x = 1,146.87 × 331.87
  4. Step 4: Simplify right side
    765.22x = 380,611.75
  5. Step 5: Solve for x
    x = 380,611.75/765.22
  6. Step 6: Final answer
    x = 497.39

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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.