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Finding the Fourth Proportional to 794.97, 1,193.28 and 603.81

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Solution

The fourth proportional to 794.97, 1,193.28 and 603.81 is: 906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.97 : 1,193.28 = 603.81 : x
  2. Step 2: Convert to fraction form
    794.97/1,193.28 = 603.81/x
  3. Step 3: Cross multiply
    794.97x = 1,193.28 × 603.81
  4. Step 4: Simplify right side
    794.97x = 720,514.40
  5. Step 5: Solve for x
    x = 720,514.40/794.97
  6. Step 6: Final answer
    x = 906.34

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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.