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Finding the Fourth Proportional to 767.06, 1,149.56 and 419.87

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Solution

The fourth proportional to 767.06, 1,149.56 and 419.87 is: 629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.06 : 1,149.56 = 419.87 : x
  2. Step 2: Convert to fraction form
    767.06/1,149.56 = 419.87/x
  3. Step 3: Cross multiply
    767.06x = 1,149.56 × 419.87
  4. Step 4: Simplify right side
    767.06x = 482,665.76
  5. Step 5: Solve for x
    x = 482,665.76/767.06
  6. Step 6: Final answer
    x = 629.24

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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.