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Finding the Fourth Proportional to 880.88, 1,217.25 and 761.96

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Solution

The fourth proportional to 880.88, 1,217.25 and 761.96 is: 1,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.88 : 1,217.25 = 761.96 : x
  2. Step 2: Convert to fraction form
    880.88/1,217.25 = 761.96/x
  3. Step 3: Cross multiply
    880.88x = 1,217.25 × 761.96
  4. Step 4: Simplify right side
    880.88x = 927,489.72
  5. Step 5: Solve for x
    x = 927,489.72/880.88
  6. Step 6: Final answer
    x = 1,052.92

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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.