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Finding the Fourth Proportional to 1,327.82, 1,991.75 and 678.15

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Solution

The fourth proportional to 1,327.82, 1,991.75 and 678.15 is: 1,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.82 : 1,991.75 = 678.15 : x
  2. Step 2: Convert to fraction form
    1,327.82/1,991.75 = 678.15/x
  3. Step 3: Cross multiply
    1,327.82x = 1,991.75 × 678.15
  4. Step 4: Simplify right side
    1,327.82x = 1,350,701.87
  5. Step 5: Solve for x
    x = 1,350,701.87/1,327.82
  6. Step 6: Final answer
    x = 1,017.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.