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Finding the Fourth Proportional to 787.80, 1,182.04 and 325.92

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Solution

The fourth proportional to 787.80, 1,182.04 and 325.92 is: 489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.80 : 1,182.04 = 325.92 : x
  2. Step 2: Convert to fraction form
    787.80/1,182.04 = 325.92/x
  3. Step 3: Cross multiply
    787.80x = 1,182.04 × 325.92
  4. Step 4: Simplify right side
    787.80x = 385,249.28
  5. Step 5: Solve for x
    x = 385,249.28/787.80
  6. Step 6: Final answer
    x = 489.02

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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.