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Finding the Fourth Proportional to 1,122.20, 1,683.45 and 391.68

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Solution

The fourth proportional to 1,122.20, 1,683.45 and 391.68 is: 587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.20 : 1,683.45 = 391.68 : x
  2. Step 2: Convert to fraction form
    1,122.20/1,683.45 = 391.68/x
  3. Step 3: Cross multiply
    1,122.20x = 1,683.45 × 391.68
  4. Step 4: Simplify right side
    1,122.20x = 659,373.70
  5. Step 5: Solve for x
    x = 659,373.70/1,122.20
  6. Step 6: Final answer
    x = 587.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.