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Finding the Fourth Proportional to 994.96, 1,372.28 and 742.64

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Solution

The fourth proportional to 994.96, 1,372.28 and 742.64 is: 1,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.96 : 1,372.28 = 742.64 : x
  2. Step 2: Convert to fraction form
    994.96/1,372.28 = 742.64/x
  3. Step 3: Cross multiply
    994.96x = 1,372.28 × 742.64
  4. Step 4: Simplify right side
    994.96x = 1,019,110.02
  5. Step 5: Solve for x
    x = 1,019,110.02/994.96
  6. Step 6: Final answer
    x = 1,024.27

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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.