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Finding the Fourth Proportional to 767.26, 1,151.13 and 280.36

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Solution

The fourth proportional to 767.26, 1,151.13 and 280.36 is: 420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.26 : 1,151.13 = 280.36 : x
  2. Step 2: Convert to fraction form
    767.26/1,151.13 = 280.36/x
  3. Step 3: Cross multiply
    767.26x = 1,151.13 × 280.36
  4. Step 4: Simplify right side
    767.26x = 322,730.81
  5. Step 5: Solve for x
    x = 322,730.81/767.26
  6. Step 6: Final answer
    x = 420.63

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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.