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Finding the Fourth Proportional to 742.96, 1,114.47 and 331.96

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Solution

The fourth proportional to 742.96, 1,114.47 and 331.96 is: 497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.96 : 1,114.47 = 331.96 : x
  2. Step 2: Convert to fraction form
    742.96/1,114.47 = 331.96/x
  3. Step 3: Cross multiply
    742.96x = 1,114.47 × 331.96
  4. Step 4: Simplify right side
    742.96x = 369,959.46
  5. Step 5: Solve for x
    x = 369,959.46/742.96
  6. Step 6: Final answer
    x = 497.95

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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.