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Finding the Fourth Proportional to 766.76, 1,150.54 and 304.78

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Solution

The fourth proportional to 766.76, 1,150.54 and 304.78 is: 457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.76 : 1,150.54 = 304.78 : x
  2. Step 2: Convert to fraction form
    766.76/1,150.54 = 304.78/x
  3. Step 3: Cross multiply
    766.76x = 1,150.54 × 304.78
  4. Step 4: Simplify right side
    766.76x = 350,661.58
  5. Step 5: Solve for x
    x = 350,661.58/766.76
  6. Step 6: Final answer
    x = 457.33

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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.