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Finding the Fourth Proportional to 741.47, 1,023.14 and 426.73

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Solution

The fourth proportional to 741.47, 1,023.14 and 426.73 is: 588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.47 : 1,023.14 = 426.73 : x
  2. Step 2: Convert to fraction form
    741.47/1,023.14 = 426.73/x
  3. Step 3: Cross multiply
    741.47x = 1,023.14 × 426.73
  4. Step 4: Simplify right side
    741.47x = 436,599.84
  5. Step 5: Solve for x
    x = 436,599.84/741.47
  6. Step 6: Final answer
    x = 588.83

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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.