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Finding the Fourth Proportional to 794.02, 1,190.55 and 409.06

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Solution

The fourth proportional to 794.02, 1,190.55 and 409.06 is: 613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.02 : 1,190.55 = 409.06 : x
  2. Step 2: Convert to fraction form
    794.02/1,190.55 = 409.06/x
  3. Step 3: Cross multiply
    794.02x = 1,190.55 × 409.06
  4. Step 4: Simplify right side
    794.02x = 487,006.38
  5. Step 5: Solve for x
    x = 487,006.38/794.02
  6. Step 6: Final answer
    x = 613.34

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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.