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Finding the Fourth Proportional to 767.09, 1,150.65 and 280.19

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Solution

The fourth proportional to 767.09, 1,150.65 and 280.19 is: 420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.09 : 1,150.65 = 280.19 : x
  2. Step 2: Convert to fraction form
    767.09/1,150.65 = 280.19/x
  3. Step 3: Cross multiply
    767.09x = 1,150.65 × 280.19
  4. Step 4: Simplify right side
    767.09x = 322,403.50
  5. Step 5: Solve for x
    x = 322,403.50/767.09
  6. Step 6: Final answer
    x = 420.29

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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.