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Finding the Fourth Proportional to 881.70, 1,219.07 and 772.35

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Solution

The fourth proportional to 881.70, 1,219.07 and 772.35 is: 1,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.70 : 1,219.07 = 772.35 : x
  2. Step 2: Convert to fraction form
    881.70/1,219.07 = 772.35/x
  3. Step 3: Cross multiply
    881.70x = 1,219.07 × 772.35
  4. Step 4: Simplify right side
    881.70x = 941,548.71
  5. Step 5: Solve for x
    x = 941,548.71/881.70
  6. Step 6: Final answer
    x = 1,067.88

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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.