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Finding the Fourth Proportional to 944.55, 1,414.26 and 712.89

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Solution

The fourth proportional to 944.55, 1,414.26 and 712.89 is: 1,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.55 : 1,414.26 = 712.89 : x
  2. Step 2: Convert to fraction form
    944.55/1,414.26 = 712.89/x
  3. Step 3: Cross multiply
    944.55x = 1,414.26 × 712.89
  4. Step 4: Simplify right side
    944.55x = 1,008,211.81
  5. Step 5: Solve for x
    x = 1,008,211.81/944.55
  6. Step 6: Final answer
    x = 1,067.40

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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.