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Finding the Fourth Proportional to 1,127.70, 1,691.72 and 478.53

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Solution

The fourth proportional to 1,127.70, 1,691.72 and 478.53 is: 717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.70 : 1,691.72 = 478.53 : x
  2. Step 2: Convert to fraction form
    1,127.70/1,691.72 = 478.53/x
  3. Step 3: Cross multiply
    1,127.70x = 1,691.72 × 478.53
  4. Step 4: Simplify right side
    1,127.70x = 809,538.77
  5. Step 5: Solve for x
    x = 809,538.77/1,127.70
  6. Step 6: Final answer
    x = 717.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.