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Finding the Fourth Proportional to 787.56, 1,180.93 and 293.77

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Solution

The fourth proportional to 787.56, 1,180.93 and 293.77 is: 440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.56 : 1,180.93 = 293.77 : x
  2. Step 2: Convert to fraction form
    787.56/1,180.93 = 293.77/x
  3. Step 3: Cross multiply
    787.56x = 1,180.93 × 293.77
  4. Step 4: Simplify right side
    787.56x = 346,914.43
  5. Step 5: Solve for x
    x = 346,914.43/787.56
  6. Step 6: Final answer
    x = 440.49

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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.