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Finding the Fourth Proportional to 1,086.31, 1,499.13 and 588.97

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Solution

The fourth proportional to 1,086.31, 1,499.13 and 588.97 is: 812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.31 : 1,499.13 = 588.97 : x
  2. Step 2: Convert to fraction form
    1,086.31/1,499.13 = 588.97/x
  3. Step 3: Cross multiply
    1,086.31x = 1,499.13 × 588.97
  4. Step 4: Simplify right side
    1,086.31x = 882,944.47
  5. Step 5: Solve for x
    x = 882,944.47/1,086.31
  6. Step 6: Final answer
    x = 812.79

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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.