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Finding the Fourth Proportional to 705.39, 1,057.32 and 294.75

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Solution

The fourth proportional to 705.39, 1,057.32 and 294.75 is: 441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.39 : 1,057.32 = 294.75 : x
  2. Step 2: Convert to fraction form
    705.39/1,057.32 = 294.75/x
  3. Step 3: Cross multiply
    705.39x = 1,057.32 × 294.75
  4. Step 4: Simplify right side
    705.39x = 311,645.07
  5. Step 5: Solve for x
    x = 311,645.07/705.39
  6. Step 6: Final answer
    x = 441.81

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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.