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Finding the Fourth Proportional to 1,084.70, 1,627.06 and 869.65

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Solution

The fourth proportional to 1,084.70, 1,627.06 and 869.65 is: 1,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.70 : 1,627.06 = 869.65 : x
  2. Step 2: Convert to fraction form
    1,084.70/1,627.06 = 869.65/x
  3. Step 3: Cross multiply
    1,084.70x = 1,627.06 × 869.65
  4. Step 4: Simplify right side
    1,084.70x = 1,414,966.49
  5. Step 5: Solve for x
    x = 1,414,966.49/1,084.70
  6. Step 6: Final answer
    x = 1,304.47

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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.