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Finding the Fourth Proportional to 885.38, 1,219.12 and 698.80

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Solution

The fourth proportional to 885.38, 1,219.12 and 698.80 is: 962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.38 : 1,219.12 = 698.80 : x
  2. Step 2: Convert to fraction form
    885.38/1,219.12 = 698.80/x
  3. Step 3: Cross multiply
    885.38x = 1,219.12 × 698.80
  4. Step 4: Simplify right side
    885.38x = 851,921.06
  5. Step 5: Solve for x
    x = 851,921.06/885.38
  6. Step 6: Final answer
    x = 962.21

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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.