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Finding the Fourth Proportional to 1,444.61, 1,993.59 and 806.60

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Solution

The fourth proportional to 1,444.61, 1,993.59 and 806.60 is: 1,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.61 : 1,993.59 = 806.60 : x
  2. Step 2: Convert to fraction form
    1,444.61/1,993.59 = 806.60/x
  3. Step 3: Cross multiply
    1,444.61x = 1,993.59 × 806.60
  4. Step 4: Simplify right side
    1,444.61x = 1,608,034.68
  5. Step 5: Solve for x
    x = 1,608,034.68/1,444.61
  6. Step 6: Final answer
    x = 1,113.13

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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.