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Finding the Fourth Proportional to 864.92, 1,296.86 and 591.34

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Solution

The fourth proportional to 864.92, 1,296.86 and 591.34 is: 886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.92 : 1,296.86 = 591.34 : x
  2. Step 2: Convert to fraction form
    864.92/1,296.86 = 591.34/x
  3. Step 3: Cross multiply
    864.92x = 1,296.86 × 591.34
  4. Step 4: Simplify right side
    864.92x = 766,878.71
  5. Step 5: Solve for x
    x = 766,878.71/864.92
  6. Step 6: Final answer
    x = 886.65

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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.