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Finding the Fourth Proportional to 1,305.36, 1,956.15 and 727.02

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Solution

The fourth proportional to 1,305.36, 1,956.15 and 727.02 is: 1,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.36 : 1,956.15 = 727.02 : x
  2. Step 2: Convert to fraction form
    1,305.36/1,956.15 = 727.02/x
  3. Step 3: Cross multiply
    1,305.36x = 1,956.15 × 727.02
  4. Step 4: Simplify right side
    1,305.36x = 1,422,160.17
  5. Step 5: Solve for x
    x = 1,422,160.17/1,305.36
  6. Step 6: Final answer
    x = 1,089.48

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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.