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Finding the Fourth Proportional to 1,084.68, 1,496.70 and 618.84

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Solution

The fourth proportional to 1,084.68, 1,496.70 and 618.84 is: 853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.68 : 1,496.70 = 618.84 : x
  2. Step 2: Convert to fraction form
    1,084.68/1,496.70 = 618.84/x
  3. Step 3: Cross multiply
    1,084.68x = 1,496.70 × 618.84
  4. Step 4: Simplify right side
    1,084.68x = 926,217.83
  5. Step 5: Solve for x
    x = 926,217.83/1,084.68
  6. Step 6: Final answer
    x = 853.91

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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.