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Finding the Fourth Proportional to 1,553.73, 2,328.16 and 859.97

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Solution

The fourth proportional to 1,553.73, 2,328.16 and 859.97 is: 1,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.73 : 2,328.16 = 859.97 : x
  2. Step 2: Convert to fraction form
    1,553.73/2,328.16 = 859.97/x
  3. Step 3: Cross multiply
    1,553.73x = 2,328.16 × 859.97
  4. Step 4: Simplify right side
    1,553.73x = 2,002,147.76
  5. Step 5: Solve for x
    x = 2,002,147.76/1,553.73
  6. Step 6: Final answer
    x = 1,288.61

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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.