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Finding the Fourth Proportional to 866.46, 1,196.04 and 588.14

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Solution

The fourth proportional to 866.46, 1,196.04 and 588.14 is: 811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.46 : 1,196.04 = 588.14 : x
  2. Step 2: Convert to fraction form
    866.46/1,196.04 = 588.14/x
  3. Step 3: Cross multiply
    866.46x = 1,196.04 × 588.14
  4. Step 4: Simplify right side
    866.46x = 703,438.97
  5. Step 5: Solve for x
    x = 703,438.97/866.46
  6. Step 6: Final answer
    x = 811.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.