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Finding the Fourth Proportional to 926.97, 1,279.40 and 727.40

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Solution

The fourth proportional to 926.97, 1,279.40 and 727.40 is: 1,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.97 : 1,279.40 = 727.40 : x
  2. Step 2: Convert to fraction form
    926.97/1,279.40 = 727.40/x
  3. Step 3: Cross multiply
    926.97x = 1,279.40 × 727.40
  4. Step 4: Simplify right side
    926.97x = 930,625.53
  5. Step 5: Solve for x
    x = 930,625.53/926.97
  6. Step 6: Final answer
    x = 1,003.94

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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.