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Finding the Fourth Proportional to 829.59, 1,250.24 and 747.43

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Solution

The fourth proportional to 829.59, 1,250.24 and 747.43 is: 1,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.59 : 1,250.24 = 747.43 : x
  2. Step 2: Convert to fraction form
    829.59/1,250.24 = 747.43/x
  3. Step 3: Cross multiply
    829.59x = 1,250.24 × 747.43
  4. Step 4: Simplify right side
    829.59x = 934,460.02
  5. Step 5: Solve for x
    x = 934,460.02/829.59
  6. Step 6: Final answer
    x = 1,126.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.