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Finding the Fourth Proportional to 705.70, 1,057.13 and 397.09

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Solution

The fourth proportional to 705.70, 1,057.13 and 397.09 is: 594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.70 : 1,057.13 = 397.09 : x
  2. Step 2: Convert to fraction form
    705.70/1,057.13 = 397.09/x
  3. Step 3: Cross multiply
    705.70x = 1,057.13 × 397.09
  4. Step 4: Simplify right side
    705.70x = 419,775.75
  5. Step 5: Solve for x
    x = 419,775.75/705.70
  6. Step 6: Final answer
    x = 594.84

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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.