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Finding the Fourth Proportional to 787.09, 1,180.65 and 209.96

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Solution

The fourth proportional to 787.09, 1,180.65 and 209.96 is: 314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.09 : 1,180.65 = 209.96 : x
  2. Step 2: Convert to fraction form
    787.09/1,180.65 = 209.96/x
  3. Step 3: Cross multiply
    787.09x = 1,180.65 × 209.96
  4. Step 4: Simplify right side
    787.09x = 247,889.27
  5. Step 5: Solve for x
    x = 247,889.27/787.09
  6. Step 6: Final answer
    x = 314.95

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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.