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Finding the Fourth Proportional to 1,463.57, 2,016.27 and 1,020.68

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Solution

The fourth proportional to 1,463.57, 2,016.27 and 1,020.68 is: 1,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.57 : 2,016.27 = 1,020.68 : x
  2. Step 2: Convert to fraction form
    1,463.57/2,016.27 = 1,020.68/x
  3. Step 3: Cross multiply
    1,463.57x = 2,016.27 × 1,020.68
  4. Step 4: Simplify right side
    1,463.57x = 2,057,966.46
  5. Step 5: Solve for x
    x = 2,057,966.46/1,463.57
  6. Step 6: Final answer
    x = 1,406.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.