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Finding the Fourth Proportional to 1,426.76, 1,968.91 and 797.25

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Solution

The fourth proportional to 1,426.76, 1,968.91 and 797.25 is: 1,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.76 : 1,968.91 = 797.25 : x
  2. Step 2: Convert to fraction form
    1,426.76/1,968.91 = 797.25/x
  3. Step 3: Cross multiply
    1,426.76x = 1,968.91 × 797.25
  4. Step 4: Simplify right side
    1,426.76x = 1,569,711.50
  5. Step 5: Solve for x
    x = 1,569,711.50/1,426.76
  6. Step 6: Final answer
    x = 1,100.19

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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.