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Finding the Fourth Proportional to 1,538.23, 2,305.92 and 613.56

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Solution

The fourth proportional to 1,538.23, 2,305.92 and 613.56 is: 919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.23 : 2,305.92 = 613.56 : x
  2. Step 2: Convert to fraction form
    1,538.23/2,305.92 = 613.56/x
  3. Step 3: Cross multiply
    1,538.23x = 2,305.92 × 613.56
  4. Step 4: Simplify right side
    1,538.23x = 1,414,820.28
  5. Step 5: Solve for x
    x = 1,414,820.28/1,538.23
  6. Step 6: Final answer
    x = 919.77

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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.