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Finding the Fourth Proportional to 1,282.40, 1,769.68 and 722.87

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Solution

The fourth proportional to 1,282.40, 1,769.68 and 722.87 is: 997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.40 : 1,769.68 = 722.87 : x
  2. Step 2: Convert to fraction form
    1,282.40/1,769.68 = 722.87/x
  3. Step 3: Cross multiply
    1,282.40x = 1,769.68 × 722.87
  4. Step 4: Simplify right side
    1,282.40x = 1,279,257.23
  5. Step 5: Solve for x
    x = 1,279,257.23/1,282.40
  6. Step 6: Final answer
    x = 997.55

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