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Finding the Fourth Proportional to 857.73, 1,184.17 and 563.51

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Solution

The fourth proportional to 857.73, 1,184.17 and 563.51 is: 777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.73 : 1,184.17 = 563.51 : x
  2. Step 2: Convert to fraction form
    857.73/1,184.17 = 563.51/x
  3. Step 3: Cross multiply
    857.73x = 1,184.17 × 563.51
  4. Step 4: Simplify right side
    857.73x = 667,291.64
  5. Step 5: Solve for x
    x = 667,291.64/857.73
  6. Step 6: Final answer
    x = 777.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.