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Finding the Fourth Proportional to 994.11, 1,491.17 and 409.01

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Solution

The fourth proportional to 994.11, 1,491.17 and 409.01 is: 613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.11 : 1,491.17 = 409.01 : x
  2. Step 2: Convert to fraction form
    994.11/1,491.17 = 409.01/x
  3. Step 3: Cross multiply
    994.11x = 1,491.17 × 409.01
  4. Step 4: Simplify right side
    994.11x = 609,903.44
  5. Step 5: Solve for x
    x = 609,903.44/994.11
  6. Step 6: Final answer
    x = 613.52

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Why These Related Problems?

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