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Finding the Fourth Proportional to 1,084.22, 1,496.14 and 612.19

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Solution

The fourth proportional to 1,084.22, 1,496.14 and 612.19 is: 844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.22 : 1,496.14 = 612.19 : x
  2. Step 2: Convert to fraction form
    1,084.22/1,496.14 = 612.19/x
  3. Step 3: Cross multiply
    1,084.22x = 1,496.14 × 612.19
  4. Step 4: Simplify right side
    1,084.22x = 915,922.29
  5. Step 5: Solve for x
    x = 915,922.29/1,084.22
  6. Step 6: Final answer
    x = 844.78

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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.