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Finding the Fourth Proportional to 1,127.68, 1,691.52 and 478.72

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Solution

The fourth proportional to 1,127.68, 1,691.52 and 478.72 is: 718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.68 : 1,691.52 = 478.72 : x
  2. Step 2: Convert to fraction form
    1,127.68/1,691.52 = 478.72/x
  3. Step 3: Cross multiply
    1,127.68x = 1,691.52 × 478.72
  4. Step 4: Simplify right side
    1,127.68x = 809,764.45
  5. Step 5: Solve for x
    x = 809,764.45/1,127.68
  6. Step 6: Final answer
    x = 718.08

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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.