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Finding the Fourth Proportional to 1,014.22, 1,399.62 and 572.12

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Solution

The fourth proportional to 1,014.22, 1,399.62 and 572.12 is: 789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.22 : 1,399.62 = 572.12 : x
  2. Step 2: Convert to fraction form
    1,014.22/1,399.62 = 572.12/x
  3. Step 3: Cross multiply
    1,014.22x = 1,399.62 × 572.12
  4. Step 4: Simplify right side
    1,014.22x = 800,743.60
  5. Step 5: Solve for x
    x = 800,743.60/1,014.22
  6. Step 6: Final answer
    x = 789.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.