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Finding the Fourth Proportional to 1,397.94, 1,928.25 and 873.78

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Solution

The fourth proportional to 1,397.94, 1,928.25 and 873.78 is: 1,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.94 : 1,928.25 = 873.78 : x
  2. Step 2: Convert to fraction form
    1,397.94/1,928.25 = 873.78/x
  3. Step 3: Cross multiply
    1,397.94x = 1,928.25 × 873.78
  4. Step 4: Simplify right side
    1,397.94x = 1,684,866.29
  5. Step 5: Solve for x
    x = 1,684,866.29/1,397.94
  6. Step 6: Final answer
    x = 1,205.25

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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.