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Finding the Fourth Proportional to 742.53, 1,025.76 and 594.97

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Solution

The fourth proportional to 742.53, 1,025.76 and 594.97 is: 821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.53 : 1,025.76 = 594.97 : x
  2. Step 2: Convert to fraction form
    742.53/1,025.76 = 594.97/x
  3. Step 3: Cross multiply
    742.53x = 1,025.76 × 594.97
  4. Step 4: Simplify right side
    742.53x = 610,296.43
  5. Step 5: Solve for x
    x = 610,296.43/742.53
  6. Step 6: Final answer
    x = 821.91

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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.