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Finding the Fourth Proportional to 705.41, 1,059.07 and 397.48

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Solution

The fourth proportional to 705.41, 1,059.07 and 397.48 is: 596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.41 : 1,059.07 = 397.48 : x
  2. Step 2: Convert to fraction form
    705.41/1,059.07 = 397.48/x
  3. Step 3: Cross multiply
    705.41x = 1,059.07 × 397.48
  4. Step 4: Simplify right side
    705.41x = 420,959.14
  5. Step 5: Solve for x
    x = 420,959.14/705.41
  6. Step 6: Final answer
    x = 596.76

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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.