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Finding the Fourth Proportional to 905.59, 1,248.59 and 763.44

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Solution

The fourth proportional to 905.59, 1,248.59 and 763.44 is: 1,052.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.59 : 1,248.59 = 763.44 : x
  2. Step 2: Convert to fraction form
    905.59/1,248.59 = 763.44/x
  3. Step 3: Cross multiply
    905.59x = 1,248.59 × 763.44
  4. Step 4: Simplify right side
    905.59x = 953,217.31
  5. Step 5: Solve for x
    x = 953,217.31/905.59
  6. Step 6: Final answer
    x = 1,052.59

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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.