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Finding the Fourth Proportional to 1,217.34, 1,825.83 and 395.73

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Solution

The fourth proportional to 1,217.34, 1,825.83 and 395.73 is: 593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.34 : 1,825.83 = 395.73 : x
  2. Step 2: Convert to fraction form
    1,217.34/1,825.83 = 395.73/x
  3. Step 3: Cross multiply
    1,217.34x = 1,825.83 × 395.73
  4. Step 4: Simplify right side
    1,217.34x = 722,535.71
  5. Step 5: Solve for x
    x = 722,535.71/1,217.34
  6. Step 6: Final answer
    x = 593.54

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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.