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Finding the Fourth Proportional to 880.44, 1,217.36 and 771.12

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Solution

The fourth proportional to 880.44, 1,217.36 and 771.12 is: 1,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.44 : 1,217.36 = 771.12 : x
  2. Step 2: Convert to fraction form
    880.44/1,217.36 = 771.12/x
  3. Step 3: Cross multiply
    880.44x = 1,217.36 × 771.12
  4. Step 4: Simplify right side
    880.44x = 938,730.64
  5. Step 5: Solve for x
    x = 938,730.64/880.44
  6. Step 6: Final answer
    x = 1,066.21

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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.