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Finding the Fourth Proportional to 1,084.26, 1,496.18 and 612.13

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Solution

The fourth proportional to 1,084.26, 1,496.18 and 612.13 is: 844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.26 : 1,496.18 = 612.13 : x
  2. Step 2: Convert to fraction form
    1,084.26/1,496.18 = 612.13/x
  3. Step 3: Cross multiply
    1,084.26x = 1,496.18 × 612.13
  4. Step 4: Simplify right side
    1,084.26x = 915,856.66
  5. Step 5: Solve for x
    x = 915,856.66/1,084.26
  6. Step 6: Final answer
    x = 844.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.