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Finding the Fourth Proportional to 723.08, 1,083.70 and 311.80

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Solution

The fourth proportional to 723.08, 1,083.70 and 311.80 is: 467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.08 : 1,083.70 = 311.80 : x
  2. Step 2: Convert to fraction form
    723.08/1,083.70 = 311.80/x
  3. Step 3: Cross multiply
    723.08x = 1,083.70 × 311.80
  4. Step 4: Simplify right side
    723.08x = 337,897.66
  5. Step 5: Solve for x
    x = 337,897.66/723.08
  6. Step 6: Final answer
    x = 467.30

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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.