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Finding the Fourth Proportional to 869.16, 1,304.61 and 770.97

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Solution

The fourth proportional to 869.16, 1,304.61 and 770.97 is: 1,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.16 : 1,304.61 = 770.97 : x
  2. Step 2: Convert to fraction form
    869.16/1,304.61 = 770.97/x
  3. Step 3: Cross multiply
    869.16x = 1,304.61 × 770.97
  4. Step 4: Simplify right side
    869.16x = 1,005,815.17
  5. Step 5: Solve for x
    x = 1,005,815.17/869.16
  6. Step 6: Final answer
    x = 1,157.23

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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.