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Finding the Fourth Proportional to 1,081.28, 1,619.17 and 593.76

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Solution

The fourth proportional to 1,081.28, 1,619.17 and 593.76 is: 889.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.28 : 1,619.17 = 593.76 : x
  2. Step 2: Convert to fraction form
    1,081.28/1,619.17 = 593.76/x
  3. Step 3: Cross multiply
    1,081.28x = 1,619.17 × 593.76
  4. Step 4: Simplify right side
    1,081.28x = 961,398.38
  5. Step 5: Solve for x
    x = 961,398.38/1,081.28
  6. Step 6: Final answer
    x = 889.13

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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.