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Finding the Fourth Proportional to 705.05, 1,057.58 and 664.55

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Solution

The fourth proportional to 705.05, 1,057.58 and 664.55 is: 996.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.05 : 1,057.58 = 664.55 : x
  2. Step 2: Convert to fraction form
    705.05/1,057.58 = 664.55/x
  3. Step 3: Cross multiply
    705.05x = 1,057.58 × 664.55
  4. Step 4: Simplify right side
    705.05x = 702,811.47
  5. Step 5: Solve for x
    x = 702,811.47/705.05
  6. Step 6: Final answer
    x = 996.83

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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.