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Finding the Fourth Proportional to 766.71, 1,149.66 and 304.47

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Solution

The fourth proportional to 766.71, 1,149.66 and 304.47 is: 456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.71 : 1,149.66 = 304.47 : x
  2. Step 2: Convert to fraction form
    766.71/1,149.66 = 304.47/x
  3. Step 3: Cross multiply
    766.71x = 1,149.66 × 304.47
  4. Step 4: Simplify right side
    766.71x = 350,036.98
  5. Step 5: Solve for x
    x = 350,036.98/766.71
  6. Step 6: Final answer
    x = 456.54

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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.