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Finding the Fourth Proportional to 1,282.78, 1,770.27 and 723.36

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Solution

The fourth proportional to 1,282.78, 1,770.27 and 723.36 is: 998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.78 : 1,770.27 = 723.36 : x
  2. Step 2: Convert to fraction form
    1,282.78/1,770.27 = 723.36/x
  3. Step 3: Cross multiply
    1,282.78x = 1,770.27 × 723.36
  4. Step 4: Simplify right side
    1,282.78x = 1,280,542.51
  5. Step 5: Solve for x
    x = 1,280,542.51/1,282.78
  6. Step 6: Final answer
    x = 998.26

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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.