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Finding the Fourth Proportional to 880.45, 1,217.34 and 771.10

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Solution

The fourth proportional to 880.45, 1,217.34 and 771.10 is: 1,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.45 : 1,217.34 = 771.10 : x
  2. Step 2: Convert to fraction form
    880.45/1,217.34 = 771.10/x
  3. Step 3: Cross multiply
    880.45x = 1,217.34 × 771.10
  4. Step 4: Simplify right side
    880.45x = 938,690.87
  5. Step 5: Solve for x
    x = 938,690.87/880.45
  6. Step 6: Final answer
    x = 1,066.15

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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.