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Finding the Fourth Proportional to 705.62, 1,057.75 and 294.88

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Solution

The fourth proportional to 705.62, 1,057.75 and 294.88 is: 442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.62 : 1,057.75 = 294.88 : x
  2. Step 2: Convert to fraction form
    705.62/1,057.75 = 294.88/x
  3. Step 3: Cross multiply
    705.62x = 1,057.75 × 294.88
  4. Step 4: Simplify right side
    705.62x = 311,905.94
  5. Step 5: Solve for x
    x = 311,905.94/705.62
  6. Step 6: Final answer
    x = 442.03

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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.