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Finding the Fourth Proportional to 994.41, 1,371.06 and 816.75

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Solution

The fourth proportional to 994.41, 1,371.06 and 816.75 is: 1,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.41 : 1,371.06 = 816.75 : x
  2. Step 2: Convert to fraction form
    994.41/1,371.06 = 816.75/x
  3. Step 3: Cross multiply
    994.41x = 1,371.06 × 816.75
  4. Step 4: Simplify right side
    994.41x = 1,119,813.26
  5. Step 5: Solve for x
    x = 1,119,813.26/994.41
  6. Step 6: Final answer
    x = 1,126.11

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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.