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Finding the Fourth Proportional to 1,059.70, 1,589.65 and 366.09

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Solution

The fourth proportional to 1,059.70, 1,589.65 and 366.09 is: 549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.70 : 1,589.65 = 366.09 : x
  2. Step 2: Convert to fraction form
    1,059.70/1,589.65 = 366.09/x
  3. Step 3: Cross multiply
    1,059.70x = 1,589.65 × 366.09
  4. Step 4: Simplify right side
    1,059.70x = 581,954.97
  5. Step 5: Solve for x
    x = 581,954.97/1,059.70
  6. Step 6: Final answer
    x = 549.17

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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.