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Finding the Fourth Proportional to 1,084.39, 1,496.41 and 612.28

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Solution

The fourth proportional to 1,084.39, 1,496.41 and 612.28 is: 844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.39 : 1,496.41 = 612.28 : x
  2. Step 2: Convert to fraction form
    1,084.39/1,496.41 = 612.28/x
  3. Step 3: Cross multiply
    1,084.39x = 1,496.41 × 612.28
  4. Step 4: Simplify right side
    1,084.39x = 916,221.91
  5. Step 5: Solve for x
    x = 916,221.91/1,084.39
  6. Step 6: Final answer
    x = 844.92

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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.