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Finding the Fourth Proportional to 747.86, 1,121.80 and 260.92

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Solution

The fourth proportional to 747.86, 1,121.80 and 260.92 is: 391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.86 : 1,121.80 = 260.92 : x
  2. Step 2: Convert to fraction form
    747.86/1,121.80 = 260.92/x
  3. Step 3: Cross multiply
    747.86x = 1,121.80 × 260.92
  4. Step 4: Simplify right side
    747.86x = 292,696.60
  5. Step 5: Solve for x
    x = 292,696.60/747.86
  6. Step 6: Final answer
    x = 391.38

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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.