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Finding the Fourth Proportional to 748.48, 1,122.02 and 686.96

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Solution

The fourth proportional to 748.48, 1,122.02 and 686.96 is: 1,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.48 : 1,122.02 = 686.96 : x
  2. Step 2: Convert to fraction form
    748.48/1,122.02 = 686.96/x
  3. Step 3: Cross multiply
    748.48x = 1,122.02 × 686.96
  4. Step 4: Simplify right side
    748.48x = 770,782.86
  5. Step 5: Solve for x
    x = 770,782.86/748.48
  6. Step 6: Final answer
    x = 1,029.80

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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.