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Finding the Fourth Proportional to 787.24, 1,180.14 and 293.55

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Solution

The fourth proportional to 787.24, 1,180.14 and 293.55 is: 440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.24 : 1,180.14 = 293.55 : x
  2. Step 2: Convert to fraction form
    787.24/1,180.14 = 293.55/x
  3. Step 3: Cross multiply
    787.24x = 1,180.14 × 293.55
  4. Step 4: Simplify right side
    787.24x = 346,430.10
  5. Step 5: Solve for x
    x = 346,430.10/787.24
  6. Step 6: Final answer
    x = 440.06

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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.