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Finding the Fourth Proportional to 787.26, 1,086.46 and 437.96

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Solution

The fourth proportional to 787.26, 1,086.46 and 437.96 is: 604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.26 : 1,086.46 = 437.96 : x
  2. Step 2: Convert to fraction form
    787.26/1,086.46 = 437.96/x
  3. Step 3: Cross multiply
    787.26x = 1,086.46 × 437.96
  4. Step 4: Simplify right side
    787.26x = 475,826.02
  5. Step 5: Solve for x
    x = 475,826.02/787.26
  6. Step 6: Final answer
    x = 604.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.