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Finding the Fourth Proportional to 747.66, 1,121.70 and 260.76

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Solution

The fourth proportional to 747.66, 1,121.70 and 260.76 is: 391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.66 : 1,121.70 = 260.76 : x
  2. Step 2: Convert to fraction form
    747.66/1,121.70 = 260.76/x
  3. Step 3: Cross multiply
    747.66x = 1,121.70 × 260.76
  4. Step 4: Simplify right side
    747.66x = 292,494.49
  5. Step 5: Solve for x
    x = 292,494.49/747.66
  6. Step 6: Final answer
    x = 391.21

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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.