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Finding the Fourth Proportional to 748.32, 1,121.67 and 474.54

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Solution

The fourth proportional to 748.32, 1,121.67 and 474.54 is: 711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.32 : 1,121.67 = 474.54 : x
  2. Step 2: Convert to fraction form
    748.32/1,121.67 = 474.54/x
  3. Step 3: Cross multiply
    748.32x = 1,121.67 × 474.54
  4. Step 4: Simplify right side
    748.32x = 532,277.28
  5. Step 5: Solve for x
    x = 532,277.28/748.32
  6. Step 6: Final answer
    x = 711.30

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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.