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Finding the Fourth Proportional to 936.08, 1,397.24 and 868.40

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Solution

The fourth proportional to 936.08, 1,397.24 and 868.40 is: 1,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.08 : 1,397.24 = 868.40 : x
  2. Step 2: Convert to fraction form
    936.08/1,397.24 = 868.40/x
  3. Step 3: Cross multiply
    936.08x = 1,397.24 × 868.40
  4. Step 4: Simplify right side
    936.08x = 1,213,363.22
  5. Step 5: Solve for x
    x = 1,213,363.22/936.08
  6. Step 6: Final answer
    x = 1,296.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.