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Finding the Fourth Proportional to 1,152.43, 1,726.72 and 1,107.47

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Solution

The fourth proportional to 1,152.43, 1,726.72 and 1,107.47 is: 1,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.43 : 1,726.72 = 1,107.47 : x
  2. Step 2: Convert to fraction form
    1,152.43/1,726.72 = 1,107.47/x
  3. Step 3: Cross multiply
    1,152.43x = 1,726.72 × 1,107.47
  4. Step 4: Simplify right side
    1,152.43x = 1,912,292.15
  5. Step 5: Solve for x
    x = 1,912,292.15/1,152.43
  6. Step 6: Final answer
    x = 1,659.36

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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.