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Finding the Fourth Proportional to 887.22, 1,327.14 and 821.61

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Solution

The fourth proportional to 887.22, 1,327.14 and 821.61 is: 1,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.22 : 1,327.14 = 821.61 : x
  2. Step 2: Convert to fraction form
    887.22/1,327.14 = 821.61/x
  3. Step 3: Cross multiply
    887.22x = 1,327.14 × 821.61
  4. Step 4: Simplify right side
    887.22x = 1,090,391.50
  5. Step 5: Solve for x
    x = 1,090,391.50/887.22
  6. Step 6: Final answer
    x = 1,229.00

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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.