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Finding the Fourth Proportional to 820.95, 1,132.89 and 471.63

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Solution

The fourth proportional to 820.95, 1,132.89 and 471.63 is: 650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.95 : 1,132.89 = 471.63 : x
  2. Step 2: Convert to fraction form
    820.95/1,132.89 = 471.63/x
  3. Step 3: Cross multiply
    820.95x = 1,132.89 × 471.63
  4. Step 4: Simplify right side
    820.95x = 534,304.91
  5. Step 5: Solve for x
    x = 534,304.91/820.95
  6. Step 6: Final answer
    x = 650.84

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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.