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Finding the Fourth Proportional to 944.32, 1,302.24 and 682.56

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Solution

The fourth proportional to 944.32, 1,302.24 and 682.56 is: 941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.32 : 1,302.24 = 682.56 : x
  2. Step 2: Convert to fraction form
    944.32/1,302.24 = 682.56/x
  3. Step 3: Cross multiply
    944.32x = 1,302.24 × 682.56
  4. Step 4: Simplify right side
    944.32x = 888,856.93
  5. Step 5: Solve for x
    x = 888,856.93/944.32
  6. Step 6: Final answer
    x = 941.27

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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.