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Finding the Fourth Proportional to 1,329.17, 1,993.95 and 404.69

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Solution

The fourth proportional to 1,329.17, 1,993.95 and 404.69 is: 607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.17 : 1,993.95 = 404.69 : x
  2. Step 2: Convert to fraction form
    1,329.17/1,993.95 = 404.69/x
  3. Step 3: Cross multiply
    1,329.17x = 1,993.95 × 404.69
  4. Step 4: Simplify right side
    1,329.17x = 806,921.66
  5. Step 5: Solve for x
    x = 806,921.66/1,329.17
  6. Step 6: Final answer
    x = 607.09

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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.