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Finding the Fourth Proportional to 1,172.60, 1,758.97 and 392.57

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Solution

The fourth proportional to 1,172.60, 1,758.97 and 392.57 is: 588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.60 : 1,758.97 = 392.57 : x
  2. Step 2: Convert to fraction form
    1,172.60/1,758.97 = 392.57/x
  3. Step 3: Cross multiply
    1,172.60x = 1,758.97 × 392.57
  4. Step 4: Simplify right side
    1,172.60x = 690,517.14
  5. Step 5: Solve for x
    x = 690,517.14/1,172.60
  6. Step 6: Final answer
    x = 588.88

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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.