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Finding the Fourth Proportional to 1,380.68, 1,905.62 and 849.82

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Solution

The fourth proportional to 1,380.68, 1,905.62 and 849.82 is: 1,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.68 : 1,905.62 = 849.82 : x
  2. Step 2: Convert to fraction form
    1,380.68/1,905.62 = 849.82/x
  3. Step 3: Cross multiply
    1,380.68x = 1,905.62 × 849.82
  4. Step 4: Simplify right side
    1,380.68x = 1,619,433.99
  5. Step 5: Solve for x
    x = 1,619,433.99/1,380.68
  6. Step 6: Final answer
    x = 1,172.92

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Why These Related Problems?

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