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Finding the Fourth Proportional to 705.97, 1,058.70 and 243.61

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Solution

The fourth proportional to 705.97, 1,058.70 and 243.61 is: 365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.97 : 1,058.70 = 243.61 : x
  2. Step 2: Convert to fraction form
    705.97/1,058.70 = 243.61/x
  3. Step 3: Cross multiply
    705.97x = 1,058.70 × 243.61
  4. Step 4: Simplify right side
    705.97x = 257,909.91
  5. Step 5: Solve for x
    x = 257,909.91/705.97
  6. Step 6: Final answer
    x = 365.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.