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Finding the Fourth Proportional to 1,305.24, 1,955.84 and 816.82

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Solution

The fourth proportional to 1,305.24, 1,955.84 and 816.82 is: 1,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.24 : 1,955.84 = 816.82 : x
  2. Step 2: Convert to fraction form
    1,305.24/1,955.84 = 816.82/x
  3. Step 3: Cross multiply
    1,305.24x = 1,955.84 × 816.82
  4. Step 4: Simplify right side
    1,305.24x = 1,597,569.23
  5. Step 5: Solve for x
    x = 1,597,569.23/1,305.24
  6. Step 6: Final answer
    x = 1,223.97

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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.