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Finding the Fourth Proportional to 1,060.24, 1,589.68 and 444.23

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Solution

The fourth proportional to 1,060.24, 1,589.68 and 444.23 is: 666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.24 : 1,589.68 = 444.23 : x
  2. Step 2: Convert to fraction form
    1,060.24/1,589.68 = 444.23/x
  3. Step 3: Cross multiply
    1,060.24x = 1,589.68 × 444.23
  4. Step 4: Simplify right side
    1,060.24x = 706,188.56
  5. Step 5: Solve for x
    x = 706,188.56/1,060.24
  6. Step 6: Final answer
    x = 666.07

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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.