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Finding the Fourth Proportional to 1,060.21, 1,589.17 and 401.78

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Solution

The fourth proportional to 1,060.21, 1,589.17 and 401.78 is: 602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.21 : 1,589.17 = 401.78 : x
  2. Step 2: Convert to fraction form
    1,060.21/1,589.17 = 401.78/x
  3. Step 3: Cross multiply
    1,060.21x = 1,589.17 × 401.78
  4. Step 4: Simplify right side
    1,060.21x = 638,496.72
  5. Step 5: Solve for x
    x = 638,496.72/1,060.21
  6. Step 6: Final answer
    x = 602.24

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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.