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Finding the Fourth Proportional to 766.93, 1,148.57 and 419.75

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Solution

The fourth proportional to 766.93, 1,148.57 and 419.75 is: 628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.93 : 1,148.57 = 419.75 : x
  2. Step 2: Convert to fraction form
    766.93/1,148.57 = 419.75/x
  3. Step 3: Cross multiply
    766.93x = 1,148.57 × 419.75
  4. Step 4: Simplify right side
    766.93x = 482,104.42
  5. Step 5: Solve for x
    x = 482,104.42/766.93
  6. Step 6: Final answer
    x = 628.62

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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.