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Finding the Fourth Proportional to 1,086.24, 1,499.02 and 588.88

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Solution

The fourth proportional to 1,086.24, 1,499.02 and 588.88 is: 812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.24 : 1,499.02 = 588.88 : x
  2. Step 2: Convert to fraction form
    1,086.24/1,499.02 = 588.88/x
  3. Step 3: Cross multiply
    1,086.24x = 1,499.02 × 588.88
  4. Step 4: Simplify right side
    1,086.24x = 882,746.11
  5. Step 5: Solve for x
    x = 882,746.11/1,086.24
  6. Step 6: Final answer
    x = 812.66

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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.