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Finding the Fourth Proportional to 742.11, 1,114.19 and 377.16

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Solution

The fourth proportional to 742.11, 1,114.19 and 377.16 is: 566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.11 : 1,114.19 = 377.16 : x
  2. Step 2: Convert to fraction form
    742.11/1,114.19 = 377.16/x
  3. Step 3: Cross multiply
    742.11x = 1,114.19 × 377.16
  4. Step 4: Simplify right side
    742.11x = 420,226.01
  5. Step 5: Solve for x
    x = 420,226.01/742.11
  6. Step 6: Final answer
    x = 566.26

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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.