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Finding the Fourth Proportional to 865.63, 1,194.37 and 726.31

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Solution

The fourth proportional to 865.63, 1,194.37 and 726.31 is: 1,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.63 : 1,194.37 = 726.31 : x
  2. Step 2: Convert to fraction form
    865.63/1,194.37 = 726.31/x
  3. Step 3: Cross multiply
    865.63x = 1,194.37 × 726.31
  4. Step 4: Simplify right side
    865.63x = 867,482.87
  5. Step 5: Solve for x
    x = 867,482.87/865.63
  6. Step 6: Final answer
    x = 1,002.14

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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.