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Finding the Fourth Proportional to 787.79, 1,180.91 and 293.84

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Solution

The fourth proportional to 787.79, 1,180.91 and 293.84 is: 440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.79 : 1,180.91 = 293.84 : x
  2. Step 2: Convert to fraction form
    787.79/1,180.91 = 293.84/x
  3. Step 3: Cross multiply
    787.79x = 1,180.91 × 293.84
  4. Step 4: Simplify right side
    787.79x = 346,992.69
  5. Step 5: Solve for x
    x = 346,992.69/787.79
  6. Step 6: Final answer
    x = 440.47

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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.