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Finding the Fourth Proportional to 1,191.88, 1,787.64 and 326.32

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Solution

The fourth proportional to 1,191.88, 1,787.64 and 326.32 is: 489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.88 : 1,787.64 = 326.32 : x
  2. Step 2: Convert to fraction form
    1,191.88/1,787.64 = 326.32/x
  3. Step 3: Cross multiply
    1,191.88x = 1,787.64 × 326.32
  4. Step 4: Simplify right side
    1,191.88x = 583,342.68
  5. Step 5: Solve for x
    x = 583,342.68/1,191.88
  6. Step 6: Final answer
    x = 489.43

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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.