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Finding the Fourth Proportional to 766.42, 1,148.67 and 381.78

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Solution

The fourth proportional to 766.42, 1,148.67 and 381.78 is: 572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.42 : 1,148.67 = 381.78 : x
  2. Step 2: Convert to fraction form
    766.42/1,148.67 = 381.78/x
  3. Step 3: Cross multiply
    766.42x = 1,148.67 × 381.78
  4. Step 4: Simplify right side
    766.42x = 438,539.23
  5. Step 5: Solve for x
    x = 438,539.23/766.42
  6. Step 6: Final answer
    x = 572.19

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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.