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Finding the Fourth Proportional to 1,353.24, 2,028.78 and 859.14

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Solution

The fourth proportional to 1,353.24, 2,028.78 and 859.14 is: 1,288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.24 : 2,028.78 = 859.14 : x
  2. Step 2: Convert to fraction form
    1,353.24/2,028.78 = 859.14/x
  3. Step 3: Cross multiply
    1,353.24x = 2,028.78 × 859.14
  4. Step 4: Simplify right side
    1,353.24x = 1,743,006.05
  5. Step 5: Solve for x
    x = 1,743,006.05/1,353.24
  6. Step 6: Final answer
    x = 1,288.02

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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.