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Finding the Fourth Proportional to 1,426.68, 1,968.84 and 797.28

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Solution

The fourth proportional to 1,426.68, 1,968.84 and 797.28 is: 1,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.68 : 1,968.84 = 797.28 : x
  2. Step 2: Convert to fraction form
    1,426.68/1,968.84 = 797.28/x
  3. Step 3: Cross multiply
    1,426.68x = 1,968.84 × 797.28
  4. Step 4: Simplify right side
    1,426.68x = 1,569,716.76
  5. Step 5: Solve for x
    x = 1,569,716.76/1,426.68
  6. Step 6: Final answer
    x = 1,100.26

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Why These Related Problems?

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