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Finding the Fourth Proportional to 1,122.11, 1,683.17 and 391.70

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Solution

The fourth proportional to 1,122.11, 1,683.17 and 391.70 is: 587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.11 : 1,683.17 = 391.70 : x
  2. Step 2: Convert to fraction form
    1,122.11/1,683.17 = 391.70/x
  3. Step 3: Cross multiply
    1,122.11x = 1,683.17 × 391.70
  4. Step 4: Simplify right side
    1,122.11x = 659,287.31
  5. Step 5: Solve for x
    x = 659,287.31/1,122.11
  6. Step 6: Final answer
    x = 587.55

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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.