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Finding the Fourth Proportional to 1,127.44, 1,691.28 and 478.24

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Solution

The fourth proportional to 1,127.44, 1,691.28 and 478.24 is: 717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.44 : 1,691.28 = 478.24 : x
  2. Step 2: Convert to fraction form
    1,127.44/1,691.28 = 478.24/x
  3. Step 3: Cross multiply
    1,127.44x = 1,691.28 × 478.24
  4. Step 4: Simplify right side
    1,127.44x = 808,837.75
  5. Step 5: Solve for x
    x = 808,837.75/1,127.44
  6. Step 6: Final answer
    x = 717.41

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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.