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Finding the Fourth Proportional to 1,246.79, 1,721.29 and 827.71

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Solution

The fourth proportional to 1,246.79, 1,721.29 and 827.71 is: 1,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.79 : 1,721.29 = 827.71 : x
  2. Step 2: Convert to fraction form
    1,246.79/1,721.29 = 827.71/x
  3. Step 3: Cross multiply
    1,246.79x = 1,721.29 × 827.71
  4. Step 4: Simplify right side
    1,246.79x = 1,424,728.95
  5. Step 5: Solve for x
    x = 1,424,728.95/1,246.79
  6. Step 6: Final answer
    x = 1,142.72

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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.