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Finding the Fourth Proportional to 869.13, 1,200.96 and 711.32

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Solution

The fourth proportional to 869.13, 1,200.96 and 711.32 is: 982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.13 : 1,200.96 = 711.32 : x
  2. Step 2: Convert to fraction form
    869.13/1,200.96 = 711.32/x
  3. Step 3: Cross multiply
    869.13x = 1,200.96 × 711.32
  4. Step 4: Simplify right side
    869.13x = 854,260.86
  5. Step 5: Solve for x
    x = 854,260.86/869.13
  6. Step 6: Final answer
    x = 982.89

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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.