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Finding the Fourth Proportional to 1,122.41, 1,683.38 and 381.89

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Solution

The fourth proportional to 1,122.41, 1,683.38 and 381.89 is: 572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.41 : 1,683.38 = 381.89 : x
  2. Step 2: Convert to fraction form
    1,122.41/1,683.38 = 381.89/x
  3. Step 3: Cross multiply
    1,122.41x = 1,683.38 × 381.89
  4. Step 4: Simplify right side
    1,122.41x = 642,871.15
  5. Step 5: Solve for x
    x = 642,871.15/1,122.41
  6. Step 6: Final answer
    x = 572.76

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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.