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Finding the Fourth Proportional to 927.14, 1,279.71 and 573.17

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Solution

The fourth proportional to 927.14, 1,279.71 and 573.17 is: 791.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.14 : 1,279.71 = 573.17 : x
  2. Step 2: Convert to fraction form
    927.14/1,279.71 = 573.17/x
  3. Step 3: Cross multiply
    927.14x = 1,279.71 × 573.17
  4. Step 4: Simplify right side
    927.14x = 733,484.98
  5. Step 5: Solve for x
    x = 733,484.98/927.14
  6. Step 6: Final answer
    x = 791.13

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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.