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Finding the Fourth Proportional to 880.71, 1,214.63 and 827.85

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Solution

The fourth proportional to 880.71, 1,214.63 and 827.85 is: 1,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.71 : 1,214.63 = 827.85 : x
  2. Step 2: Convert to fraction form
    880.71/1,214.63 = 827.85/x
  3. Step 3: Cross multiply
    880.71x = 1,214.63 × 827.85
  4. Step 4: Simplify right side
    880.71x = 1,005,534.97
  5. Step 5: Solve for x
    x = 1,005,534.97/880.71
  6. Step 6: Final answer
    x = 1,141.74

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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.