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Finding the Fourth Proportional to 1,127.40, 1,691.71 and 511.05

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Solution

The fourth proportional to 1,127.40, 1,691.71 and 511.05 is: 766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.40 : 1,691.71 = 511.05 : x
  2. Step 2: Convert to fraction form
    1,127.40/1,691.71 = 511.05/x
  3. Step 3: Cross multiply
    1,127.40x = 1,691.71 × 511.05
  4. Step 4: Simplify right side
    1,127.40x = 864,553.46
  5. Step 5: Solve for x
    x = 864,553.46/1,127.40
  6. Step 6: Final answer
    x = 766.86

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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.