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Finding the Fourth Proportional to 820.44, 1,132.31 and 471.13

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Solution

The fourth proportional to 820.44, 1,132.31 and 471.13 is: 650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.44 : 1,132.31 = 471.13 : x
  2. Step 2: Convert to fraction form
    820.44/1,132.31 = 471.13/x
  3. Step 3: Cross multiply
    820.44x = 1,132.31 × 471.13
  4. Step 4: Simplify right side
    820.44x = 533,463.56
  5. Step 5: Solve for x
    x = 533,463.56/820.44
  6. Step 6: Final answer
    x = 650.22

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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.