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Finding the Fourth Proportional to 742.11, 1,113.17 and 279.87

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Solution

The fourth proportional to 742.11, 1,113.17 and 279.87 is: 419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.11 : 1,113.17 = 279.87 : x
  2. Step 2: Convert to fraction form
    742.11/1,113.17 = 279.87/x
  3. Step 3: Cross multiply
    742.11x = 1,113.17 × 279.87
  4. Step 4: Simplify right side
    742.11x = 311,541.49
  5. Step 5: Solve for x
    x = 311,541.49/742.11
  6. Step 6: Final answer
    x = 419.81

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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.