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Finding the Fourth Proportional to 705.98, 1,059.12 and 243.78

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Solution

The fourth proportional to 705.98, 1,059.12 and 243.78 is: 365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.98 : 1,059.12 = 243.78 : x
  2. Step 2: Convert to fraction form
    705.98/1,059.12 = 243.78/x
  3. Step 3: Cross multiply
    705.98x = 1,059.12 × 243.78
  4. Step 4: Simplify right side
    705.98x = 258,191.05
  5. Step 5: Solve for x
    x = 258,191.05/705.98
  6. Step 6: Final answer
    x = 365.72

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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.