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Finding the Fourth Proportional to 881.84, 1,217.55 and 550.34

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Solution

The fourth proportional to 881.84, 1,217.55 and 550.34 is: 759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.84 : 1,217.55 = 550.34 : x
  2. Step 2: Convert to fraction form
    881.84/1,217.55 = 550.34/x
  3. Step 3: Cross multiply
    881.84x = 1,217.55 × 550.34
  4. Step 4: Simplify right side
    881.84x = 670,066.47
  5. Step 5: Solve for x
    x = 670,066.47/881.84
  6. Step 6: Final answer
    x = 759.85

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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.