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Finding the Fourth Proportional to 1,084.50, 1,496.61 and 618.75

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Solution

The fourth proportional to 1,084.50, 1,496.61 and 618.75 is: 853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.50 : 1,496.61 = 618.75 : x
  2. Step 2: Convert to fraction form
    1,084.50/1,496.61 = 618.75/x
  3. Step 3: Cross multiply
    1,084.50x = 1,496.61 × 618.75
  4. Step 4: Simplify right side
    1,084.50x = 926,027.44
  5. Step 5: Solve for x
    x = 926,027.44/1,084.50
  6. Step 6: Final answer
    x = 853.88

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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.