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Finding the Fourth Proportional to 1,059.60, 1,589.40 and 443.15

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Solution

The fourth proportional to 1,059.60, 1,589.40 and 443.15 is: 664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.60 : 1,589.40 = 443.15 : x
  2. Step 2: Convert to fraction form
    1,059.60/1,589.40 = 443.15/x
  3. Step 3: Cross multiply
    1,059.60x = 1,589.40 × 443.15
  4. Step 4: Simplify right side
    1,059.60x = 704,334.66
  5. Step 5: Solve for x
    x = 704,334.66/1,059.60
  6. Step 6: Final answer
    x = 664.72

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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.