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Finding the Fourth Proportional to 1,217.71, 1,826.36 and 396.58

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Solution

The fourth proportional to 1,217.71, 1,826.36 and 396.58 is: 594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.71 : 1,826.36 = 396.58 : x
  2. Step 2: Convert to fraction form
    1,217.71/1,826.36 = 396.58/x
  3. Step 3: Cross multiply
    1,217.71x = 1,826.36 × 396.58
  4. Step 4: Simplify right side
    1,217.71x = 724,297.85
  5. Step 5: Solve for x
    x = 724,297.85/1,217.71
  6. Step 6: Final answer
    x = 594.80

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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.