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Finding the Fourth Proportional to 828, 1,143.60 and 565.56

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Solution

The fourth proportional to 828, 1,143.60 and 565.56 is: 781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    828 : 1,143.60 = 565.56 : x
  2. Step 2: Convert to fraction form
    828/1,143.60 = 565.56/x
  3. Step 3: Cross multiply
    828x = 1,143.60 × 565.56
  4. Step 4: Simplify right side
    828x = 646,774.42
  5. Step 5: Solve for x
    x = 646,774.42/828
  6. Step 6: Final answer
    x = 781.13

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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.