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Finding the Fourth Proportional to 883.49, 1,321.38 and 817.88

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Solution

The fourth proportional to 883.49, 1,321.38 and 817.88 is: 1,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.49 : 1,321.38 = 817.88 : x
  2. Step 2: Convert to fraction form
    883.49/1,321.38 = 817.88/x
  3. Step 3: Cross multiply
    883.49x = 1,321.38 × 817.88
  4. Step 4: Simplify right side
    883.49x = 1,080,723.67
  5. Step 5: Solve for x
    x = 1,080,723.67/883.49
  6. Step 6: Final answer
    x = 1,223.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.