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Finding the Fourth Proportional to 723.08, 1,084.14 and 235.96

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Solution

The fourth proportional to 723.08, 1,084.14 and 235.96 is: 353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.08 : 1,084.14 = 235.96 : x
  2. Step 2: Convert to fraction form
    723.08/1,084.14 = 235.96/x
  3. Step 3: Cross multiply
    723.08x = 1,084.14 × 235.96
  4. Step 4: Simplify right side
    723.08x = 255,813.67
  5. Step 5: Solve for x
    x = 255,813.67/723.08
  6. Step 6: Final answer
    x = 353.78

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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.