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Finding the Fourth Proportional to 742.27, 1,114.04 and 499.09

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Solution

The fourth proportional to 742.27, 1,114.04 and 499.09 is: 749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.27 : 1,114.04 = 499.09 : x
  2. Step 2: Convert to fraction form
    742.27/1,114.04 = 499.09/x
  3. Step 3: Cross multiply
    742.27x = 1,114.04 × 499.09
  4. Step 4: Simplify right side
    742.27x = 556,006.22
  5. Step 5: Solve for x
    x = 556,006.22/742.27
  6. Step 6: Final answer
    x = 749.06

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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.