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Finding the Fourth Proportional to 1,272.17, 1,906.43 and 723.19

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Solution

The fourth proportional to 1,272.17, 1,906.43 and 723.19 is: 1,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.17 : 1,906.43 = 723.19 : x
  2. Step 2: Convert to fraction form
    1,272.17/1,906.43 = 723.19/x
  3. Step 3: Cross multiply
    1,272.17x = 1,906.43 × 723.19
  4. Step 4: Simplify right side
    1,272.17x = 1,378,711.11
  5. Step 5: Solve for x
    x = 1,378,711.11/1,272.17
  6. Step 6: Final answer
    x = 1,083.75

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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.