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Finding the Fourth Proportional to 1,066.32, 1,601.94 and 633.78

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Solution

The fourth proportional to 1,066.32, 1,601.94 and 633.78 is: 952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.32 : 1,601.94 = 633.78 : x
  2. Step 2: Convert to fraction form
    1,066.32/1,601.94 = 633.78/x
  3. Step 3: Cross multiply
    1,066.32x = 1,601.94 × 633.78
  4. Step 4: Simplify right side
    1,066.32x = 1,015,277.53
  5. Step 5: Solve for x
    x = 1,015,277.53/1,066.32
  6. Step 6: Final answer
    x = 952.13

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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.