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Finding the Fourth Proportional to 1,288.90, 1,778.69 and 699.43

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Solution

The fourth proportional to 1,288.90, 1,778.69 and 699.43 is: 965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.90 : 1,778.69 = 699.43 : x
  2. Step 2: Convert to fraction form
    1,288.90/1,778.69 = 699.43/x
  3. Step 3: Cross multiply
    1,288.90x = 1,778.69 × 699.43
  4. Step 4: Simplify right side
    1,288.90x = 1,244,061.20
  5. Step 5: Solve for x
    x = 1,244,061.20/1,288.90
  6. Step 6: Final answer
    x = 965.21

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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.