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Finding the Fourth Proportional to 1,282.75, 1,762.49 and 1,020.31

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Solution

The fourth proportional to 1,282.75, 1,762.49 and 1,020.31 is: 1,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.75 : 1,762.49 = 1,020.31 : x
  2. Step 2: Convert to fraction form
    1,282.75/1,762.49 = 1,020.31/x
  3. Step 3: Cross multiply
    1,282.75x = 1,762.49 × 1,020.31
  4. Step 4: Simplify right side
    1,282.75x = 1,798,286.17
  5. Step 5: Solve for x
    x = 1,798,286.17/1,282.75
  6. Step 6: Final answer
    x = 1,401.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.