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Finding the Fourth Proportional to 1,380.93, 1,905.74 and 791.58

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Solution

The fourth proportional to 1,380.93, 1,905.74 and 791.58 is: 1,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.93 : 1,905.74 = 791.58 : x
  2. Step 2: Convert to fraction form
    1,380.93/1,905.74 = 791.58/x
  3. Step 3: Cross multiply
    1,380.93x = 1,905.74 × 791.58
  4. Step 4: Simplify right side
    1,380.93x = 1,508,545.67
  5. Step 5: Solve for x
    x = 1,508,545.67/1,380.93
  6. Step 6: Final answer
    x = 1,092.41

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1.5x scale

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.