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Finding the Fourth Proportional to 820.27, 1,131.92 and 505.46

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Solution

The fourth proportional to 820.27, 1,131.92 and 505.46 is: 697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.27 : 1,131.92 = 505.46 : x
  2. Step 2: Convert to fraction form
    820.27/1,131.92 = 505.46/x
  3. Step 3: Cross multiply
    820.27x = 1,131.92 × 505.46
  4. Step 4: Simplify right side
    820.27x = 572,140.59
  5. Step 5: Solve for x
    x = 572,140.59/820.27
  6. Step 6: Final answer
    x = 697.50

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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.