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Finding the Fourth Proportional to 1,328.83, 1,992.89 and 404.15

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Solution

The fourth proportional to 1,328.83, 1,992.89 and 404.15 is: 606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.83 : 1,992.89 = 404.15 : x
  2. Step 2: Convert to fraction form
    1,328.83/1,992.89 = 404.15/x
  3. Step 3: Cross multiply
    1,328.83x = 1,992.89 × 404.15
  4. Step 4: Simplify right side
    1,328.83x = 805,417.54
  5. Step 5: Solve for x
    x = 805,417.54/1,328.83
  6. Step 6: Final answer
    x = 606.11

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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.