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Finding the Fourth Proportional to 837.87, 1,259.24 and 405.33

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Solution

The fourth proportional to 837.87, 1,259.24 and 405.33 is: 609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.87 : 1,259.24 = 405.33 : x
  2. Step 2: Convert to fraction form
    837.87/1,259.24 = 405.33/x
  3. Step 3: Cross multiply
    837.87x = 1,259.24 × 405.33
  4. Step 4: Simplify right side
    837.87x = 510,405.72
  5. Step 5: Solve for x
    x = 510,405.72/837.87
  6. Step 6: Final answer
    x = 609.17

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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.