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Finding the Fourth Proportional to 869.70, 1,304.64 and 807.78

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Solution

The fourth proportional to 869.70, 1,304.64 and 807.78 is: 1,211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.70 : 1,304.64 = 807.78 : x
  2. Step 2: Convert to fraction form
    869.70/1,304.64 = 807.78/x
  3. Step 3: Cross multiply
    869.70x = 1,304.64 × 807.78
  4. Step 4: Simplify right side
    869.70x = 1,053,862.10
  5. Step 5: Solve for x
    x = 1,053,862.10/869.70
  6. Step 6: Final answer
    x = 1,211.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.