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Finding the Fourth Proportional to 994.15, 1,491.26 and 474.21

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Solution

The fourth proportional to 994.15, 1,491.26 and 474.21 is: 711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.15 : 1,491.26 = 474.21 : x
  2. Step 2: Convert to fraction form
    994.15/1,491.26 = 474.21/x
  3. Step 3: Cross multiply
    994.15x = 1,491.26 × 474.21
  4. Step 4: Simplify right side
    994.15x = 707,170.40
  5. Step 5: Solve for x
    x = 707,170.40/994.15
  6. Step 6: Final answer
    x = 711.33

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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.