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Finding the Fourth Proportional to 994.35, 1,491.93 and 629.04

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Solution

The fourth proportional to 994.35, 1,491.93 and 629.04 is: 943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.35 : 1,491.93 = 629.04 : x
  2. Step 2: Convert to fraction form
    994.35/1,491.93 = 629.04/x
  3. Step 3: Cross multiply
    994.35x = 1,491.93 × 629.04
  4. Step 4: Simplify right side
    994.35x = 938,483.65
  5. Step 5: Solve for x
    x = 938,483.65/994.35
  6. Step 6: Final answer
    x = 943.82

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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.