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Finding the Fourth Proportional to 1,217.95, 1,826.93 and 396.21

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Solution

The fourth proportional to 1,217.95, 1,826.93 and 396.21 is: 594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.95 : 1,826.93 = 396.21 : x
  2. Step 2: Convert to fraction form
    1,217.95/1,826.93 = 396.21/x
  3. Step 3: Cross multiply
    1,217.95x = 1,826.93 × 396.21
  4. Step 4: Simplify right side
    1,217.95x = 723,847.94
  5. Step 5: Solve for x
    x = 723,847.94/1,217.95
  6. Step 6: Final answer
    x = 594.32

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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.