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Finding the Fourth Proportional to 1,042.47, 1,560.06 and 767.88

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Solution

The fourth proportional to 1,042.47, 1,560.06 and 767.88 is: 1,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.47 : 1,560.06 = 767.88 : x
  2. Step 2: Convert to fraction form
    1,042.47/1,560.06 = 767.88/x
  3. Step 3: Cross multiply
    1,042.47x = 1,560.06 × 767.88
  4. Step 4: Simplify right side
    1,042.47x = 1,197,938.87
  5. Step 5: Solve for x
    x = 1,197,938.87/1,042.47
  6. Step 6: Final answer
    x = 1,149.14

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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.