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Finding the Fourth Proportional to 766.89, 1,150.96 and 356.08

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Solution

The fourth proportional to 766.89, 1,150.96 and 356.08 is: 534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.89 : 1,150.96 = 356.08 : x
  2. Step 2: Convert to fraction form
    766.89/1,150.96 = 356.08/x
  3. Step 3: Cross multiply
    766.89x = 1,150.96 × 356.08
  4. Step 4: Simplify right side
    766.89x = 409,833.84
  5. Step 5: Solve for x
    x = 409,833.84/766.89
  6. Step 6: Final answer
    x = 534.41

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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.