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Finding the Fourth Proportional to 1,361.34, 2,042.62 and 784.22

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Solution

The fourth proportional to 1,361.34, 2,042.62 and 784.22 is: 1,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.34 : 2,042.62 = 784.22 : x
  2. Step 2: Convert to fraction form
    1,361.34/2,042.62 = 784.22/x
  3. Step 3: Cross multiply
    1,361.34x = 2,042.62 × 784.22
  4. Step 4: Simplify right side
    1,361.34x = 1,601,863.46
  5. Step 5: Solve for x
    x = 1,601,863.46/1,361.34
  6. Step 6: Final answer
    x = 1,176.68

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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.