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Finding the Fourth Proportional to 705.32, 1,055.99 and 396.62

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Solution

The fourth proportional to 705.32, 1,055.99 and 396.62 is: 593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.32 : 1,055.99 = 396.62 : x
  2. Step 2: Convert to fraction form
    705.32/1,055.99 = 396.62/x
  3. Step 3: Cross multiply
    705.32x = 1,055.99 × 396.62
  4. Step 4: Simplify right side
    705.32x = 418,819.49
  5. Step 5: Solve for x
    x = 418,819.49/705.32
  6. Step 6: Final answer
    x = 593.80

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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.