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Finding the Fourth Proportional to 705.14, 1,057.62 and 185.17

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Solution

The fourth proportional to 705.14, 1,057.62 and 185.17 is: 277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.14 : 1,057.62 = 185.17 : x
  2. Step 2: Convert to fraction form
    705.14/1,057.62 = 185.17/x
  3. Step 3: Cross multiply
    705.14x = 1,057.62 × 185.17
  4. Step 4: Simplify right side
    705.14x = 195,839.50
  5. Step 5: Solve for x
    x = 195,839.50/705.14
  6. Step 6: Final answer
    x = 277.73

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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.