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Finding the Fourth Proportional to 994.04, 1,491.12 and 416.72

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Solution

The fourth proportional to 994.04, 1,491.12 and 416.72 is: 625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.04 : 1,491.12 = 416.72 : x
  2. Step 2: Convert to fraction form
    994.04/1,491.12 = 416.72/x
  3. Step 3: Cross multiply
    994.04x = 1,491.12 × 416.72
  4. Step 4: Simplify right side
    994.04x = 621,379.53
  5. Step 5: Solve for x
    x = 621,379.53/994.04
  6. Step 6: Final answer
    x = 625.11

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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.