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Finding the Fourth Proportional to 880.84, 1,216.98 and 872.20

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Solution

The fourth proportional to 880.84, 1,216.98 and 872.20 is: 1,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.84 : 1,216.98 = 872.20 : x
  2. Step 2: Convert to fraction form
    880.84/1,216.98 = 872.20/x
  3. Step 3: Cross multiply
    880.84x = 1,216.98 × 872.20
  4. Step 4: Simplify right side
    880.84x = 1,061,449.96
  5. Step 5: Solve for x
    x = 1,061,449.96/880.84
  6. Step 6: Final answer
    x = 1,205.04

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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.