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Finding the Fourth Proportional to 1,059.44, 1,589.16 and 289.92

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Solution

The fourth proportional to 1,059.44, 1,589.16 and 289.92 is: 434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.44 : 1,589.16 = 289.92 : x
  2. Step 2: Convert to fraction form
    1,059.44/1,589.16 = 289.92/x
  3. Step 3: Cross multiply
    1,059.44x = 1,589.16 × 289.92
  4. Step 4: Simplify right side
    1,059.44x = 460,729.27
  5. Step 5: Solve for x
    x = 460,729.27/1,059.44
  6. Step 6: Final answer
    x = 434.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.