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Finding the Fourth Proportional to 849.66, 1,171.73 and 565.95

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Solution

The fourth proportional to 849.66, 1,171.73 and 565.95 is: 780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.66 : 1,171.73 = 565.95 : x
  2. Step 2: Convert to fraction form
    849.66/1,171.73 = 565.95/x
  3. Step 3: Cross multiply
    849.66x = 1,171.73 × 565.95
  4. Step 4: Simplify right side
    849.66x = 663,134.73
  5. Step 5: Solve for x
    x = 663,134.73/849.66
  6. Step 6: Final answer
    x = 780.48

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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.