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Finding the Fourth Proportional to 1,057.92, 1,587.42 and 480.72

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Solution

The fourth proportional to 1,057.92, 1,587.42 and 480.72 is: 721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.92 : 1,587.42 = 480.72 : x
  2. Step 2: Convert to fraction form
    1,057.92/1,587.42 = 480.72/x
  3. Step 3: Cross multiply
    1,057.92x = 1,587.42 × 480.72
  4. Step 4: Simplify right side
    1,057.92x = 763,104.54
  5. Step 5: Solve for x
    x = 763,104.54/1,057.92
  6. Step 6: Final answer
    x = 721.33

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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.