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Finding the Fourth Proportional to 820.80, 1,132.68 and 471.48

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Solution

The fourth proportional to 820.80, 1,132.68 and 471.48 is: 650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.80 : 1,132.68 = 471.48 : x
  2. Step 2: Convert to fraction form
    820.80/1,132.68 = 471.48/x
  3. Step 3: Cross multiply
    820.80x = 1,132.68 × 471.48
  4. Step 4: Simplify right side
    820.80x = 534,035.97
  5. Step 5: Solve for x
    x = 534,035.97/820.80
  6. Step 6: Final answer
    x = 650.63

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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.