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Finding the Fourth Proportional to 765.47, 1,146.41 and 752.78

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Solution

The fourth proportional to 765.47, 1,146.41 and 752.78 is: 1,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.47 : 1,146.41 = 752.78 : x
  2. Step 2: Convert to fraction form
    765.47/1,146.41 = 752.78/x
  3. Step 3: Cross multiply
    765.47x = 1,146.41 × 752.78
  4. Step 4: Simplify right side
    765.47x = 862,985.02
  5. Step 5: Solve for x
    x = 862,985.02/765.47
  6. Step 6: Final answer
    x = 1,127.40

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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.