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Finding the Fourth Proportional to 994.48, 1,372.95 and 772.94

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Solution

The fourth proportional to 994.48, 1,372.95 and 772.94 is: 1,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.48 : 1,372.95 = 772.94 : x
  2. Step 2: Convert to fraction form
    994.48/1,372.95 = 772.94/x
  3. Step 3: Cross multiply
    994.48x = 1,372.95 × 772.94
  4. Step 4: Simplify right side
    994.48x = 1,061,211.41
  5. Step 5: Solve for x
    x = 1,061,211.41/994.48
  6. Step 6: Final answer
    x = 1,067.10

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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.