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Finding the Fourth Proportional to 881.76, 1,216.73 and 488.75

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Solution

The fourth proportional to 881.76, 1,216.73 and 488.75 is: 674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.76 : 1,216.73 = 488.75 : x
  2. Step 2: Convert to fraction form
    881.76/1,216.73 = 488.75/x
  3. Step 3: Cross multiply
    881.76x = 1,216.73 × 488.75
  4. Step 4: Simplify right side
    881.76x = 594,676.79
  5. Step 5: Solve for x
    x = 594,676.79/881.76
  6. Step 6: Final answer
    x = 674.42

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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.