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Finding the Fourth Proportional to 1,437.33, 1,983.74 and 878.12

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Solution

The fourth proportional to 1,437.33, 1,983.74 and 878.12 is: 1,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.33 : 1,983.74 = 878.12 : x
  2. Step 2: Convert to fraction form
    1,437.33/1,983.74 = 878.12/x
  3. Step 3: Cross multiply
    1,437.33x = 1,983.74 × 878.12
  4. Step 4: Simplify right side
    1,437.33x = 1,741,971.00
  5. Step 5: Solve for x
    x = 1,741,971.00/1,437.33
  6. Step 6: Final answer
    x = 1,211.95

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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.