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Finding the Fourth Proportional to 1,200.87, 1,656.68 and 797.18

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Solution

The fourth proportional to 1,200.87, 1,656.68 and 797.18 is: 1,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.87 : 1,656.68 = 797.18 : x
  2. Step 2: Convert to fraction form
    1,200.87/1,656.68 = 797.18/x
  3. Step 3: Cross multiply
    1,200.87x = 1,656.68 × 797.18
  4. Step 4: Simplify right side
    1,200.87x = 1,320,659.89
  5. Step 5: Solve for x
    x = 1,320,659.89/1,200.87
  6. Step 6: Final answer
    x = 1,099.75

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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.