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Finding the Fourth Proportional to 913.38, 1,369.13 and 584.57

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Solution

The fourth proportional to 913.38, 1,369.13 and 584.57 is: 876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.38 : 1,369.13 = 584.57 : x
  2. Step 2: Convert to fraction form
    913.38/1,369.13 = 584.57/x
  3. Step 3: Cross multiply
    913.38x = 1,369.13 × 584.57
  4. Step 4: Simplify right side
    913.38x = 800,342.56
  5. Step 5: Solve for x
    x = 800,342.56/913.38
  6. Step 6: Final answer
    x = 876.24

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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.