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Finding the Fourth Proportional to 767.14, 1,150.82 and 280.07

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Solution

The fourth proportional to 767.14, 1,150.82 and 280.07 is: 420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.14 : 1,150.82 = 280.07 : x
  2. Step 2: Convert to fraction form
    767.14/1,150.82 = 280.07/x
  3. Step 3: Cross multiply
    767.14x = 1,150.82 × 280.07
  4. Step 4: Simplify right side
    767.14x = 322,308.76
  5. Step 5: Solve for x
    x = 322,308.76/767.14
  6. Step 6: Final answer
    x = 420.15

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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.