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Finding the Fourth Proportional to 1,172.68, 1,758.84 and 392.56

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Solution

The fourth proportional to 1,172.68, 1,758.84 and 392.56 is: 588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.68 : 1,758.84 = 392.56 : x
  2. Step 2: Convert to fraction form
    1,172.68/1,758.84 = 392.56/x
  3. Step 3: Cross multiply
    1,172.68x = 1,758.84 × 392.56
  4. Step 4: Simplify right side
    1,172.68x = 690,450.23
  5. Step 5: Solve for x
    x = 690,450.23/1,172.68
  6. Step 6: Final answer
    x = 588.78

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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.