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Finding the Fourth Proportional to 794.28, 1,186.73 and 767.03

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Solution

The fourth proportional to 794.28, 1,186.73 and 767.03 is: 1,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.28 : 1,186.73 = 767.03 : x
  2. Step 2: Convert to fraction form
    794.28/1,186.73 = 767.03/x
  3. Step 3: Cross multiply
    794.28x = 1,186.73 × 767.03
  4. Step 4: Simplify right side
    794.28x = 910,254.32
  5. Step 5: Solve for x
    x = 910,254.32/794.28
  6. Step 6: Final answer
    x = 1,146.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.