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Finding the Fourth Proportional to 742.53, 1,022.31 and 575.94

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Solution

The fourth proportional to 742.53, 1,022.31 and 575.94 is: 792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.53 : 1,022.31 = 575.94 : x
  2. Step 2: Convert to fraction form
    742.53/1,022.31 = 575.94/x
  3. Step 3: Cross multiply
    742.53x = 1,022.31 × 575.94
  4. Step 4: Simplify right side
    742.53x = 588,789.22
  5. Step 5: Solve for x
    x = 588,789.22/742.53
  6. Step 6: Final answer
    x = 792.95

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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.