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Finding the Fourth Proportional to 767.71, 1,150.89 and 356.64

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Solution

The fourth proportional to 767.71, 1,150.89 and 356.64 is: 534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.71 : 1,150.89 = 356.64 : x
  2. Step 2: Convert to fraction form
    767.71/1,150.89 = 356.64/x
  3. Step 3: Cross multiply
    767.71x = 1,150.89 × 356.64
  4. Step 4: Simplify right side
    767.71x = 410,453.41
  5. Step 5: Solve for x
    x = 410,453.41/767.71
  6. Step 6: Final answer
    x = 534.65

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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.