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Finding the Fourth Proportional to 712.44, 1,067.40 and 506.70

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Solution

The fourth proportional to 712.44, 1,067.40 and 506.70 is: 759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.44 : 1,067.40 = 506.70 : x
  2. Step 2: Convert to fraction form
    712.44/1,067.40 = 506.70/x
  3. Step 3: Cross multiply
    712.44x = 1,067.40 × 506.70
  4. Step 4: Simplify right side
    712.44x = 540,851.58
  5. Step 5: Solve for x
    x = 540,851.58/712.44
  6. Step 6: Final answer
    x = 759.15

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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.