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Finding the Fourth Proportional to 767.14, 1,149.93 and 419.74

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Solution

The fourth proportional to 767.14, 1,149.93 and 419.74 is: 629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.14 : 1,149.93 = 419.74 : x
  2. Step 2: Convert to fraction form
    767.14/1,149.93 = 419.74/x
  3. Step 3: Cross multiply
    767.14x = 1,149.93 × 419.74
  4. Step 4: Simplify right side
    767.14x = 482,668.74
  5. Step 5: Solve for x
    x = 482,668.74/767.14
  6. Step 6: Final answer
    x = 629.18

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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.