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Finding the Fourth Proportional to 884.67, 1,221.06 and 552.92

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Solution

The fourth proportional to 884.67, 1,221.06 and 552.92 is: 763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.67 : 1,221.06 = 552.92 : x
  2. Step 2: Convert to fraction form
    884.67/1,221.06 = 552.92/x
  3. Step 3: Cross multiply
    884.67x = 1,221.06 × 552.92
  4. Step 4: Simplify right side
    884.67x = 675,142.39
  5. Step 5: Solve for x
    x = 675,142.39/884.67
  6. Step 6: Final answer
    x = 763.16

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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.