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Finding the Fourth Proportional to 1,463.04, 2,020.34 and 939.98

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Solution

The fourth proportional to 1,463.04, 2,020.34 and 939.98 is: 1,298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.04 : 2,020.34 = 939.98 : x
  2. Step 2: Convert to fraction form
    1,463.04/2,020.34 = 939.98/x
  3. Step 3: Cross multiply
    1,463.04x = 2,020.34 × 939.98
  4. Step 4: Simplify right side
    1,463.04x = 1,899,086.59
  5. Step 5: Solve for x
    x = 1,899,086.59/1,463.04
  6. Step 6: Final answer
    x = 1,298.04

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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.