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Finding the Fourth Proportional to 1,066.17, 1,599.57 and 773.97

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Solution

The fourth proportional to 1,066.17, 1,599.57 and 773.97 is: 1,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.17 : 1,599.57 = 773.97 : x
  2. Step 2: Convert to fraction form
    1,066.17/1,599.57 = 773.97/x
  3. Step 3: Cross multiply
    1,066.17x = 1,599.57 × 773.97
  4. Step 4: Simplify right side
    1,066.17x = 1,238,013.19
  5. Step 5: Solve for x
    x = 1,238,013.19/1,066.17
  6. Step 6: Final answer
    x = 1,161.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.