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Finding the Fourth Proportional to 784.26, 1,170.77 and 620.28

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Solution

The fourth proportional to 784.26, 1,170.77 and 620.28 is: 925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.26 : 1,170.77 = 620.28 : x
  2. Step 2: Convert to fraction form
    784.26/1,170.77 = 620.28/x
  3. Step 3: Cross multiply
    784.26x = 1,170.77 × 620.28
  4. Step 4: Simplify right side
    784.26x = 726,202.11
  5. Step 5: Solve for x
    x = 726,202.11/784.26
  6. Step 6: Final answer
    x = 925.97

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