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Finding the Fourth Proportional to 1,241.38, 1,863.44 and 983.04

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Solution

The fourth proportional to 1,241.38, 1,863.44 and 983.04 is: 1,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.38 : 1,863.44 = 983.04 : x
  2. Step 2: Convert to fraction form
    1,241.38/1,863.44 = 983.04/x
  3. Step 3: Cross multiply
    1,241.38x = 1,863.44 × 983.04
  4. Step 4: Simplify right side
    1,241.38x = 1,831,838.32
  5. Step 5: Solve for x
    x = 1,831,838.32/1,241.38
  6. Step 6: Final answer
    x = 1,475.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.