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Finding the Fourth Proportional to 911.59, 1,369.41 and 565.18

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Solution

The fourth proportional to 911.59, 1,369.41 and 565.18 is: 849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.59 : 1,369.41 = 565.18 : x
  2. Step 2: Convert to fraction form
    911.59/1,369.41 = 565.18/x
  3. Step 3: Cross multiply
    911.59x = 1,369.41 × 565.18
  4. Step 4: Simplify right side
    911.59x = 773,963.14
  5. Step 5: Solve for x
    x = 773,963.14/911.59
  6. Step 6: Final answer
    x = 849.03

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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.