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Finding the Fourth Proportional to 742.22, 1,114.12 and 376.91

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Solution

The fourth proportional to 742.22, 1,114.12 and 376.91 is: 565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.22 : 1,114.12 = 376.91 : x
  2. Step 2: Convert to fraction form
    742.22/1,114.12 = 376.91/x
  3. Step 3: Cross multiply
    742.22x = 1,114.12 × 376.91
  4. Step 4: Simplify right side
    742.22x = 419,916.46
  5. Step 5: Solve for x
    x = 419,916.46/742.22
  6. Step 6: Final answer
    x = 565.76

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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.