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Finding the Fourth Proportional to 880.41, 1,216.48 and 769.71

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Solution

The fourth proportional to 880.41, 1,216.48 and 769.71 is: 1,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.41 : 1,216.48 = 769.71 : x
  2. Step 2: Convert to fraction form
    880.41/1,216.48 = 769.71/x
  3. Step 3: Cross multiply
    880.41x = 1,216.48 × 769.71
  4. Step 4: Simplify right side
    880.41x = 936,334.90
  5. Step 5: Solve for x
    x = 936,334.90/880.41
  6. Step 6: Final answer
    x = 1,063.52

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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.