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Finding the Fourth Proportional to 1,536.94, 2,305.82 and 806.32

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Solution

The fourth proportional to 1,536.94, 2,305.82 and 806.32 is: 1,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.94 : 2,305.82 = 806.32 : x
  2. Step 2: Convert to fraction form
    1,536.94/2,305.82 = 806.32/x
  3. Step 3: Cross multiply
    1,536.94x = 2,305.82 × 806.32
  4. Step 4: Simplify right side
    1,536.94x = 1,859,228.78
  5. Step 5: Solve for x
    x = 1,859,228.78/1,536.94
  6. Step 6: Final answer
    x = 1,209.70

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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.