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Finding the Fourth Proportional to 994.30, 1,371.80 and 662.78

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Solution

The fourth proportional to 994.30, 1,371.80 and 662.78 is: 914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.30 : 1,371.80 = 662.78 : x
  2. Step 2: Convert to fraction form
    994.30/1,371.80 = 662.78/x
  3. Step 3: Cross multiply
    994.30x = 1,371.80 × 662.78
  4. Step 4: Simplify right side
    994.30x = 909,201.60
  5. Step 5: Solve for x
    x = 909,201.60/994.30
  6. Step 6: Final answer
    x = 914.41

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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.