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Finding the Fourth Proportional to 864, 1,296.14 and 591.84

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Solution

The fourth proportional to 864, 1,296.14 and 591.84 is: 887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,296.14 = 591.84 : x
  2. Step 2: Convert to fraction form
    864/1,296.14 = 591.84/x
  3. Step 3: Cross multiply
    864x = 1,296.14 × 591.84
  4. Step 4: Simplify right side
    864x = 767,104.54
  5. Step 5: Solve for x
    x = 767,104.54/864
  6. Step 6: Final answer
    x = 887.85

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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.