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Finding the Fourth Proportional to 880.80, 1,214.92 and 565.56

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Solution

The fourth proportional to 880.80, 1,214.92 and 565.56 is: 780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.80 : 1,214.92 = 565.56 : x
  2. Step 2: Convert to fraction form
    880.80/1,214.92 = 565.56/x
  3. Step 3: Cross multiply
    880.80x = 1,214.92 × 565.56
  4. Step 4: Simplify right side
    880.80x = 687,116.72
  5. Step 5: Solve for x
    x = 687,116.72/880.80
  6. Step 6: Final answer
    x = 780.11

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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.