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Finding the Fourth Proportional to 884.84, 1,221.08 and 491.86

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Solution

The fourth proportional to 884.84, 1,221.08 and 491.86 is: 678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.84 : 1,221.08 = 491.86 : x
  2. Step 2: Convert to fraction form
    884.84/1,221.08 = 491.86/x
  3. Step 3: Cross multiply
    884.84x = 1,221.08 × 491.86
  4. Step 4: Simplify right side
    884.84x = 600,594.90
  5. Step 5: Solve for x
    x = 600,594.90/884.84
  6. Step 6: Final answer
    x = 678.76

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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.