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Finding the Fourth Proportional to 1,002.08, 1,382.87 and 553.97

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Solution

The fourth proportional to 1,002.08, 1,382.87 and 553.97 is: 764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.08 : 1,382.87 = 553.97 : x
  2. Step 2: Convert to fraction form
    1,002.08/1,382.87 = 553.97/x
  3. Step 3: Cross multiply
    1,002.08x = 1,382.87 × 553.97
  4. Step 4: Simplify right side
    1,002.08x = 766,073.34
  5. Step 5: Solve for x
    x = 766,073.34/1,002.08
  6. Step 6: Final answer
    x = 764.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.