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Finding the Fourth Proportional to 884.10, 1,220.05 and 491.13

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Solution

The fourth proportional to 884.10, 1,220.05 and 491.13 is: 677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.10 : 1,220.05 = 491.13 : x
  2. Step 2: Convert to fraction form
    884.10/1,220.05 = 491.13/x
  3. Step 3: Cross multiply
    884.10x = 1,220.05 × 491.13
  4. Step 4: Simplify right side
    884.10x = 599,203.16
  5. Step 5: Solve for x
    x = 599,203.16/884.10
  6. Step 6: Final answer
    x = 677.75

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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.