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Finding the Fourth Proportional to 866.17, 1,296.82 and 591.85

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Solution

The fourth proportional to 866.17, 1,296.82 and 591.85 is: 886.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.17 : 1,296.82 = 591.85 : x
  2. Step 2: Convert to fraction form
    866.17/1,296.82 = 591.85/x
  3. Step 3: Cross multiply
    866.17x = 1,296.82 × 591.85
  4. Step 4: Simplify right side
    866.17x = 767,522.92
  5. Step 5: Solve for x
    x = 767,522.92/866.17
  6. Step 6: Final answer
    x = 886.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.