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Finding the Fourth Proportional to 825.13, 1,237.70 and 338.18

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Solution

The fourth proportional to 825.13, 1,237.70 and 338.18 is: 507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.13 : 1,237.70 = 338.18 : x
  2. Step 2: Convert to fraction form
    825.13/1,237.70 = 338.18/x
  3. Step 3: Cross multiply
    825.13x = 1,237.70 × 338.18
  4. Step 4: Simplify right side
    825.13x = 418,565.39
  5. Step 5: Solve for x
    x = 418,565.39/825.13
  6. Step 6: Final answer
    x = 507.27

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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.