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Finding the Fourth Proportional to 794.31, 1,192.83 and 760.13

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Solution

The fourth proportional to 794.31, 1,192.83 and 760.13 is: 1,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.31 : 1,192.83 = 760.13 : x
  2. Step 2: Convert to fraction form
    794.31/1,192.83 = 760.13/x
  3. Step 3: Cross multiply
    794.31x = 1,192.83 × 760.13
  4. Step 4: Simplify right side
    794.31x = 906,708.24
  5. Step 5: Solve for x
    x = 906,708.24/794.31
  6. Step 6: Final answer
    x = 1,141.51

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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.