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Finding the Fourth Proportional to 1,122.05, 1,683.16 and 391.43

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Solution

The fourth proportional to 1,122.05, 1,683.16 and 391.43 is: 587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.05 : 1,683.16 = 391.43 : x
  2. Step 2: Convert to fraction form
    1,122.05/1,683.16 = 391.43/x
  3. Step 3: Cross multiply
    1,122.05x = 1,683.16 × 391.43
  4. Step 4: Simplify right side
    1,122.05x = 658,844.75
  5. Step 5: Solve for x
    x = 658,844.75/1,122.05
  6. Step 6: Final answer
    x = 587.18

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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.