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Finding the Fourth Proportional to 1,442.67, 2,163.52 and 712.74

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Solution

The fourth proportional to 1,442.67, 2,163.52 and 712.74 is: 1,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.67 : 2,163.52 = 712.74 : x
  2. Step 2: Convert to fraction form
    1,442.67/2,163.52 = 712.74/x
  3. Step 3: Cross multiply
    1,442.67x = 2,163.52 × 712.74
  4. Step 4: Simplify right side
    1,442.67x = 1,542,027.24
  5. Step 5: Solve for x
    x = 1,542,027.24/1,442.67
  6. Step 6: Final answer
    x = 1,068.87

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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.