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Finding the Fourth Proportional to 748.75, 1,123.12 and 747.66

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Solution

The fourth proportional to 748.75, 1,123.12 and 747.66 is: 1,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.75 : 1,123.12 = 747.66 : x
  2. Step 2: Convert to fraction form
    748.75/1,123.12 = 747.66/x
  3. Step 3: Cross multiply
    748.75x = 1,123.12 × 747.66
  4. Step 4: Simplify right side
    748.75x = 839,718.76
  5. Step 5: Solve for x
    x = 839,718.76/748.75
  6. Step 6: Final answer
    x = 1,121.50

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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.