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Finding the Fourth Proportional to 820.38, 1,132.53 and 559.76

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Solution

The fourth proportional to 820.38, 1,132.53 and 559.76 is: 772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.38 : 1,132.53 = 559.76 : x
  2. Step 2: Convert to fraction form
    820.38/1,132.53 = 559.76/x
  3. Step 3: Cross multiply
    820.38x = 1,132.53 × 559.76
  4. Step 4: Simplify right side
    820.38x = 633,942.19
  5. Step 5: Solve for x
    x = 633,942.19/820.38
  6. Step 6: Final answer
    x = 772.75

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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.