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Finding the Fourth Proportional to 862.32, 1,291.26 and 588.96

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Solution

The fourth proportional to 862.32, 1,291.26 and 588.96 is: 881.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.32 : 1,291.26 = 588.96 : x
  2. Step 2: Convert to fraction form
    862.32/1,291.26 = 588.96/x
  3. Step 3: Cross multiply
    862.32x = 1,291.26 × 588.96
  4. Step 4: Simplify right side
    862.32x = 760,500.49
  5. Step 5: Solve for x
    x = 760,500.49/862.32
  6. Step 6: Final answer
    x = 881.92

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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.