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Finding the Fourth Proportional to 1,363.26, 1,881.12 and 865.02

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Solution

The fourth proportional to 1,363.26, 1,881.12 and 865.02 is: 1,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.26 : 1,881.12 = 865.02 : x
  2. Step 2: Convert to fraction form
    1,363.26/1,881.12 = 865.02/x
  3. Step 3: Cross multiply
    1,363.26x = 1,881.12 × 865.02
  4. Step 4: Simplify right side
    1,363.26x = 1,627,206.42
  5. Step 5: Solve for x
    x = 1,627,206.42/1,363.26
  6. Step 6: Final answer
    x = 1,193.61

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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.