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Finding the Fourth Proportional to 1,066.82, 1,601.13 and 418.01

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Solution

The fourth proportional to 1,066.82, 1,601.13 and 418.01 is: 627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.82 : 1,601.13 = 418.01 : x
  2. Step 2: Convert to fraction form
    1,066.82/1,601.13 = 418.01/x
  3. Step 3: Cross multiply
    1,066.82x = 1,601.13 × 418.01
  4. Step 4: Simplify right side
    1,066.82x = 669,288.35
  5. Step 5: Solve for x
    x = 669,288.35/1,066.82
  6. Step 6: Final answer
    x = 627.37

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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.