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Finding the Fourth Proportional to 1,327.72, 1,993.12 and 712.63

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Solution

The fourth proportional to 1,327.72, 1,993.12 and 712.63 is: 1,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.72 : 1,993.12 = 712.63 : x
  2. Step 2: Convert to fraction form
    1,327.72/1,993.12 = 712.63/x
  3. Step 3: Cross multiply
    1,327.72x = 1,993.12 × 712.63
  4. Step 4: Simplify right side
    1,327.72x = 1,420,357.11
  5. Step 5: Solve for x
    x = 1,420,357.11/1,327.72
  6. Step 6: Final answer
    x = 1,069.77

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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.