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Finding the Fourth Proportional to 748.48, 1,122.03 and 686.98

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Solution

The fourth proportional to 748.48, 1,122.03 and 686.98 is: 1,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.48 : 1,122.03 = 686.98 : x
  2. Step 2: Convert to fraction form
    748.48/1,122.03 = 686.98/x
  3. Step 3: Cross multiply
    748.48x = 1,122.03 × 686.98
  4. Step 4: Simplify right side
    748.48x = 770,812.17
  5. Step 5: Solve for x
    x = 770,812.17/748.48
  6. Step 6: Final answer
    x = 1,029.84

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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.