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Finding the Fourth Proportional to 787.14, 1,180.41 and 259.93

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Solution

The fourth proportional to 787.14, 1,180.41 and 259.93 is: 389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.14 : 1,180.41 = 259.93 : x
  2. Step 2: Convert to fraction form
    787.14/1,180.41 = 259.93/x
  3. Step 3: Cross multiply
    787.14x = 1,180.41 × 259.93
  4. Step 4: Simplify right side
    787.14x = 306,823.97
  5. Step 5: Solve for x
    x = 306,823.97/787.14
  6. Step 6: Final answer
    x = 389.80

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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.