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Finding the Fourth Proportional to 1,463.78, 2,020.02 and 842.78

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Solution

The fourth proportional to 1,463.78, 2,020.02 and 842.78 is: 1,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.78 : 2,020.02 = 842.78 : x
  2. Step 2: Convert to fraction form
    1,463.78/2,020.02 = 842.78/x
  3. Step 3: Cross multiply
    1,463.78x = 2,020.02 × 842.78
  4. Step 4: Simplify right side
    1,463.78x = 1,702,432.46
  5. Step 5: Solve for x
    x = 1,702,432.46/1,463.78
  6. Step 6: Final answer
    x = 1,163.04

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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.