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Finding the Fourth Proportional to 1,060.29, 1,589.07 and 443.83

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Solution

The fourth proportional to 1,060.29, 1,589.07 and 443.83 is: 665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.29 : 1,589.07 = 443.83 : x
  2. Step 2: Convert to fraction form
    1,060.29/1,589.07 = 443.83/x
  3. Step 3: Cross multiply
    1,060.29x = 1,589.07 × 443.83
  4. Step 4: Simplify right side
    1,060.29x = 705,275.11
  5. Step 5: Solve for x
    x = 705,275.11/1,060.29
  6. Step 6: Final answer
    x = 665.17

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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.