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Finding the Fourth Proportional to 752.77, 1,129.16 and 367.75

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Solution

The fourth proportional to 752.77, 1,129.16 and 367.75 is: 551.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.77 : 1,129.16 = 367.75 : x
  2. Step 2: Convert to fraction form
    752.77/1,129.16 = 367.75/x
  3. Step 3: Cross multiply
    752.77x = 1,129.16 × 367.75
  4. Step 4: Simplify right side
    752.77x = 415,246.75
  5. Step 5: Solve for x
    x = 415,246.75/752.77
  6. Step 6: Final answer
    x = 551.63

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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.