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Finding the Fourth Proportional to 712.24, 1,067.20 and 505.84

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Solution

The fourth proportional to 712.24, 1,067.20 and 505.84 is: 757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.24 : 1,067.20 = 505.84 : x
  2. Step 2: Convert to fraction form
    712.24/1,067.20 = 505.84/x
  3. Step 3: Cross multiply
    712.24x = 1,067.20 × 505.84
  4. Step 4: Simplify right side
    712.24x = 539,832.45
  5. Step 5: Solve for x
    x = 539,832.45/712.24
  6. Step 6: Final answer
    x = 757.94

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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.