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Finding the Fourth Proportional to 884.74, 1,221.06 and 491.80

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Solution

The fourth proportional to 884.74, 1,221.06 and 491.80 is: 678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.74 : 1,221.06 = 491.80 : x
  2. Step 2: Convert to fraction form
    884.74/1,221.06 = 491.80/x
  3. Step 3: Cross multiply
    884.74x = 1,221.06 × 491.80
  4. Step 4: Simplify right side
    884.74x = 600,517.31
  5. Step 5: Solve for x
    x = 600,517.31/884.74
  6. Step 6: Final answer
    x = 678.75

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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.