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Finding the Fourth Proportional to 1,282.33, 1,769.65 and 784.96

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Solution

The fourth proportional to 1,282.33, 1,769.65 and 784.96 is: 1,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.33 : 1,769.65 = 784.96 : x
  2. Step 2: Convert to fraction form
    1,282.33/1,769.65 = 784.96/x
  3. Step 3: Cross multiply
    1,282.33x = 1,769.65 × 784.96
  4. Step 4: Simplify right side
    1,282.33x = 1,389,104.46
  5. Step 5: Solve for x
    x = 1,389,104.46/1,282.33
  6. Step 6: Final answer
    x = 1,083.27

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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.