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Finding the Fourth Proportional to 787.05, 1,086.12 and 437.73

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Solution

The fourth proportional to 787.05, 1,086.12 and 437.73 is: 604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.05 : 1,086.12 = 437.73 : x
  2. Step 2: Convert to fraction form
    787.05/1,086.12 = 437.73/x
  3. Step 3: Cross multiply
    787.05x = 1,086.12 × 437.73
  4. Step 4: Simplify right side
    787.05x = 475,427.31
  5. Step 5: Solve for x
    x = 475,427.31/787.05
  6. Step 6: Final answer
    x = 604.06

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Double scale
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1.5x scale

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.