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Finding the Fourth Proportional to 881.98, 1,217.14 and 489.01

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Solution

The fourth proportional to 881.98, 1,217.14 and 489.01 is: 674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.98 : 1,217.14 = 489.01 : x
  2. Step 2: Convert to fraction form
    881.98/1,217.14 = 489.01/x
  3. Step 3: Cross multiply
    881.98x = 1,217.14 × 489.01
  4. Step 4: Simplify right side
    881.98x = 595,193.63
  5. Step 5: Solve for x
    x = 595,193.63/881.98
  6. Step 6: Final answer
    x = 674.84

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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.