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Finding the Fourth Proportional to 1,282.70, 1,770.06 and 723.20

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Solution

The fourth proportional to 1,282.70, 1,770.06 and 723.20 is: 997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.70 : 1,770.06 = 723.20 : x
  2. Step 2: Convert to fraction form
    1,282.70/1,770.06 = 723.20/x
  3. Step 3: Cross multiply
    1,282.70x = 1,770.06 × 723.20
  4. Step 4: Simplify right side
    1,282.70x = 1,280,107.39
  5. Step 5: Solve for x
    x = 1,280,107.39/1,282.70
  6. Step 6: Final answer
    x = 997.98

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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.