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Finding the Fourth Proportional to 705.33, 1,057.83 and 397.32

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Solution

The fourth proportional to 705.33, 1,057.83 and 397.32 is: 595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.33 : 1,057.83 = 397.32 : x
  2. Step 2: Convert to fraction form
    705.33/1,057.83 = 397.32/x
  3. Step 3: Cross multiply
    705.33x = 1,057.83 × 397.32
  4. Step 4: Simplify right side
    705.33x = 420,297.02
  5. Step 5: Solve for x
    x = 420,297.02/705.33
  6. Step 6: Final answer
    x = 595.89

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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.