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Finding the Fourth Proportional to 821.86, 1,132.24 and 572.73

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Solution

The fourth proportional to 821.86, 1,132.24 and 572.73 is: 789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.86 : 1,132.24 = 572.73 : x
  2. Step 2: Convert to fraction form
    821.86/1,132.24 = 572.73/x
  3. Step 3: Cross multiply
    821.86x = 1,132.24 × 572.73
  4. Step 4: Simplify right side
    821.86x = 648,467.82
  5. Step 5: Solve for x
    x = 648,467.82/821.86
  6. Step 6: Final answer
    x = 789.02

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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.