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Finding the Fourth Proportional to 787.42, 1,180.86 and 397.27

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Solution

The fourth proportional to 787.42, 1,180.86 and 397.27 is: 595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.42 : 1,180.86 = 397.27 : x
  2. Step 2: Convert to fraction form
    787.42/1,180.86 = 397.27/x
  3. Step 3: Cross multiply
    787.42x = 1,180.86 × 397.27
  4. Step 4: Simplify right side
    787.42x = 469,120.25
  5. Step 5: Solve for x
    x = 469,120.25/787.42
  6. Step 6: Final answer
    x = 595.77

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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.