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Finding the Fourth Proportional to 891.74, 1,337.70 and 242.54

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Solution

The fourth proportional to 891.74, 1,337.70 and 242.54 is: 363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.74 : 1,337.70 = 242.54 : x
  2. Step 2: Convert to fraction form
    891.74/1,337.70 = 242.54/x
  3. Step 3: Cross multiply
    891.74x = 1,337.70 × 242.54
  4. Step 4: Simplify right side
    891.74x = 324,445.76
  5. Step 5: Solve for x
    x = 324,445.76/891.74
  6. Step 6: Final answer
    x = 363.83

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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.