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Finding the Fourth Proportional to 994.20, 1,490.30 and 499.10

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Solution

The fourth proportional to 994.20, 1,490.30 and 499.10 is: 748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.20 : 1,490.30 = 499.10 : x
  2. Step 2: Convert to fraction form
    994.20/1,490.30 = 499.10/x
  3. Step 3: Cross multiply
    994.20x = 1,490.30 × 499.10
  4. Step 4: Simplify right side
    994.20x = 743,801.28
  5. Step 5: Solve for x
    x = 743,801.28/994.20
  6. Step 6: Final answer
    x = 748.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.