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Finding the Fourth Proportional to 1,282.56, 1,769.92 and 723.16

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Solution

The fourth proportional to 1,282.56, 1,769.92 and 723.16 is: 997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.56 : 1,769.92 = 723.16 : x
  2. Step 2: Convert to fraction form
    1,282.56/1,769.92 = 723.16/x
  3. Step 3: Cross multiply
    1,282.56x = 1,769.92 × 723.16
  4. Step 4: Simplify right side
    1,282.56x = 1,279,935.35
  5. Step 5: Solve for x
    x = 1,279,935.35/1,282.56
  6. Step 6: Final answer
    x = 997.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.