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Finding the Fourth Proportional to 825.29, 1,237.59 and 362.83

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Solution

The fourth proportional to 825.29, 1,237.59 and 362.83 is: 544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.29 : 1,237.59 = 362.83 : x
  2. Step 2: Convert to fraction form
    825.29/1,237.59 = 362.83/x
  3. Step 3: Cross multiply
    825.29x = 1,237.59 × 362.83
  4. Step 4: Simplify right side
    825.29x = 449,034.78
  5. Step 5: Solve for x
    x = 449,034.78/825.29
  6. Step 6: Final answer
    x = 544.09

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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.