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Finding the Fourth Proportional to 996.95, 1,372.47 and 747.86

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Solution

The fourth proportional to 996.95, 1,372.47 and 747.86 is: 1,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.95 : 1,372.47 = 747.86 : x
  2. Step 2: Convert to fraction form
    996.95/1,372.47 = 747.86/x
  3. Step 3: Cross multiply
    996.95x = 1,372.47 × 747.86
  4. Step 4: Simplify right side
    996.95x = 1,026,405.75
  5. Step 5: Solve for x
    x = 1,026,405.75/996.95
  6. Step 6: Final answer
    x = 1,029.54

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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.