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Finding the Fourth Proportional to 1,329.28, 1,993.91 and 404.84

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Solution

The fourth proportional to 1,329.28, 1,993.91 and 404.84 is: 607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.28 : 1,993.91 = 404.84 : x
  2. Step 2: Convert to fraction form
    1,329.28/1,993.91 = 404.84/x
  3. Step 3: Cross multiply
    1,329.28x = 1,993.91 × 404.84
  4. Step 4: Simplify right side
    1,329.28x = 807,214.52
  5. Step 5: Solve for x
    x = 807,214.52/1,329.28
  6. Step 6: Final answer
    x = 607.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.