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Finding the Fourth Proportional to 869.66, 1,304.04 and 686.54

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Solution

The fourth proportional to 869.66, 1,304.04 and 686.54 is: 1,029.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.66 : 1,304.04 = 686.54 : x
  2. Step 2: Convert to fraction form
    869.66/1,304.04 = 686.54/x
  3. Step 3: Cross multiply
    869.66x = 1,304.04 × 686.54
  4. Step 4: Simplify right side
    869.66x = 895,275.62
  5. Step 5: Solve for x
    x = 895,275.62/869.66
  6. Step 6: Final answer
    x = 1,029.45

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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.