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Finding the Fourth Proportional to 705.91, 974.08 and 391.14

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Solution

The fourth proportional to 705.91, 974.08 and 391.14 is: 539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.91 : 974.08 = 391.14 : x
  2. Step 2: Convert to fraction form
    705.91/974.08 = 391.14/x
  3. Step 3: Cross multiply
    705.91x = 974.08 × 391.14
  4. Step 4: Simplify right side
    705.91x = 381,001.65
  5. Step 5: Solve for x
    x = 381,001.65/705.91
  6. Step 6: Final answer
    x = 539.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.