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Finding the Fourth Proportional to 840.27, 1,259.16 and 406.92

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Solution

The fourth proportional to 840.27, 1,259.16 and 406.92 is: 609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.27 : 1,259.16 = 406.92 : x
  2. Step 2: Convert to fraction form
    840.27/1,259.16 = 406.92/x
  3. Step 3: Cross multiply
    840.27x = 1,259.16 × 406.92
  4. Step 4: Simplify right side
    840.27x = 512,377.39
  5. Step 5: Solve for x
    x = 512,377.39/840.27
  6. Step 6: Final answer
    x = 609.78

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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.