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Finding the Fourth Proportional to 699.37, 1,049.09 and 237.20

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Solution

The fourth proportional to 699.37, 1,049.09 and 237.20 is: 355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.37 : 1,049.09 = 237.20 : x
  2. Step 2: Convert to fraction form
    699.37/1,049.09 = 237.20/x
  3. Step 3: Cross multiply
    699.37x = 1,049.09 × 237.20
  4. Step 4: Simplify right side
    699.37x = 248,837.72
  5. Step 5: Solve for x
    x = 248,837.72/699.37
  6. Step 6: Final answer
    x = 355.80

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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.