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Finding the Fourth Proportional to 881.73, 1,216.76 and 488.78

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Solution

The fourth proportional to 881.73, 1,216.76 and 488.78 is: 674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.73 : 1,216.76 = 488.78 : x
  2. Step 2: Convert to fraction form
    881.73/1,216.76 = 488.78/x
  3. Step 3: Cross multiply
    881.73x = 1,216.76 × 488.78
  4. Step 4: Simplify right side
    881.73x = 594,725.51
  5. Step 5: Solve for x
    x = 594,725.51/881.73
  6. Step 6: Final answer
    x = 674.50

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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.