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Finding the Fourth Proportional to 1,283.25, 1,763.18 and 1,020.81

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Solution

The fourth proportional to 1,283.25, 1,763.18 and 1,020.81 is: 1,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.25 : 1,763.18 = 1,020.81 : x
  2. Step 2: Convert to fraction form
    1,283.25/1,763.18 = 1,020.81/x
  3. Step 3: Cross multiply
    1,283.25x = 1,763.18 × 1,020.81
  4. Step 4: Simplify right side
    1,283.25x = 1,799,871.78
  5. Step 5: Solve for x
    x = 1,799,871.78/1,283.25
  6. Step 6: Final answer
    x = 1,402.59

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