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Finding the Fourth Proportional to 881.87, 1,217.00 and 488.93

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Solution

The fourth proportional to 881.87, 1,217.00 and 488.93 is: 674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.87 : 1,217.00 = 488.93 : x
  2. Step 2: Convert to fraction form
    881.87/1,217.00 = 488.93/x
  3. Step 3: Cross multiply
    881.87x = 1,217.00 × 488.93
  4. Step 4: Simplify right side
    881.87x = 595,022.95
  5. Step 5: Solve for x
    x = 595,022.95/881.87
  6. Step 6: Final answer
    x = 674.73

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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.