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Finding the Fourth Proportional to 820.54, 1,132.41 and 471.25

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Solution

The fourth proportional to 820.54, 1,132.41 and 471.25 is: 650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.54 : 1,132.41 = 471.25 : x
  2. Step 2: Convert to fraction form
    820.54/1,132.41 = 471.25/x
  3. Step 3: Cross multiply
    820.54x = 1,132.41 × 471.25
  4. Step 4: Simplify right side
    820.54x = 533,648.21
  5. Step 5: Solve for x
    x = 533,648.21/820.54
  6. Step 6: Final answer
    x = 650.36

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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.