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Finding the Fourth Proportional to 1,084.28, 1,496.34 and 618.68

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Solution

The fourth proportional to 1,084.28, 1,496.34 and 618.68 is: 853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.28 : 1,496.34 = 618.68 : x
  2. Step 2: Convert to fraction form
    1,084.28/1,496.34 = 618.68/x
  3. Step 3: Cross multiply
    1,084.28x = 1,496.34 × 618.68
  4. Step 4: Simplify right side
    1,084.28x = 925,755.63
  5. Step 5: Solve for x
    x = 925,755.63/1,084.28
  6. Step 6: Final answer
    x = 853.80

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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.