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Finding the Fourth Proportional to 742.14, 1,023.66 and 480.27

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Solution

The fourth proportional to 742.14, 1,023.66 and 480.27 is: 662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.14 : 1,023.66 = 480.27 : x
  2. Step 2: Convert to fraction form
    742.14/1,023.66 = 480.27/x
  3. Step 3: Cross multiply
    742.14x = 1,023.66 × 480.27
  4. Step 4: Simplify right side
    742.14x = 491,633.19
  5. Step 5: Solve for x
    x = 491,633.19/742.14
  6. Step 6: Final answer
    x = 662.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.