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Finding the Fourth Proportional to 840.87, 1,259.68 and 408.33

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Solution

The fourth proportional to 840.87, 1,259.68 and 408.33 is: 611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.87 : 1,259.68 = 408.33 : x
  2. Step 2: Convert to fraction form
    840.87/1,259.68 = 408.33/x
  3. Step 3: Cross multiply
    840.87x = 1,259.68 × 408.33
  4. Step 4: Simplify right side
    840.87x = 514,365.13
  5. Step 5: Solve for x
    x = 514,365.13/840.87
  6. Step 6: Final answer
    x = 611.71

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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.