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Finding the Fourth Proportional to 1,122.78, 1,683.87 and 342.57

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Solution

The fourth proportional to 1,122.78, 1,683.87 and 342.57 is: 513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.78 : 1,683.87 = 342.57 : x
  2. Step 2: Convert to fraction form
    1,122.78/1,683.87 = 342.57/x
  3. Step 3: Cross multiply
    1,122.78x = 1,683.87 × 342.57
  4. Step 4: Simplify right side
    1,122.78x = 576,843.35
  5. Step 5: Solve for x
    x = 576,843.35/1,122.78
  6. Step 6: Final answer
    x = 513.76

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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.