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Finding the Fourth Proportional to 943.36, 1,414.16 and 865.50

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Solution

The fourth proportional to 943.36, 1,414.16 and 865.50 is: 1,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.36 : 1,414.16 = 865.50 : x
  2. Step 2: Convert to fraction form
    943.36/1,414.16 = 865.50/x
  3. Step 3: Cross multiply
    943.36x = 1,414.16 × 865.50
  4. Step 4: Simplify right side
    943.36x = 1,223,961.92
  5. Step 5: Solve for x
    x = 1,223,961.92/943.36
  6. Step 6: Final answer
    x = 1,297.45

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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.