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Finding the Fourth Proportional to 825.06, 1,237.72 and 337.98

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Solution

The fourth proportional to 825.06, 1,237.72 and 337.98 is: 507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.06 : 1,237.72 = 337.98 : x
  2. Step 2: Convert to fraction form
    825.06/1,237.72 = 337.98/x
  3. Step 3: Cross multiply
    825.06x = 1,237.72 × 337.98
  4. Step 4: Simplify right side
    825.06x = 418,324.61
  5. Step 5: Solve for x
    x = 418,324.61/825.06
  6. Step 6: Final answer
    x = 507.02

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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.