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Finding the Fourth Proportional to 820.38, 1,231.05 and 565.02

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Solution

The fourth proportional to 820.38, 1,231.05 and 565.02 is: 847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.38 : 1,231.05 = 565.02 : x
  2. Step 2: Convert to fraction form
    820.38/1,231.05 = 565.02/x
  3. Step 3: Cross multiply
    820.38x = 1,231.05 × 565.02
  4. Step 4: Simplify right side
    820.38x = 695,567.87
  5. Step 5: Solve for x
    x = 695,567.87/820.38
  6. Step 6: Final answer
    x = 847.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.