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Finding the Fourth Proportional to 705.05, 1,057.86 and 294.27

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Solution

The fourth proportional to 705.05, 1,057.86 and 294.27 is: 441.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.05 : 1,057.86 = 294.27 : x
  2. Step 2: Convert to fraction form
    705.05/1,057.86 = 294.27/x
  3. Step 3: Cross multiply
    705.05x = 1,057.86 × 294.27
  4. Step 4: Simplify right side
    705.05x = 311,296.46
  5. Step 5: Solve for x
    x = 311,296.46/705.05
  6. Step 6: Final answer
    x = 441.53

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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.