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Finding the Fourth Proportional to 1,251.13, 1,726.24 and 852.09

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Solution

The fourth proportional to 1,251.13, 1,726.24 and 852.09 is: 1,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.13 : 1,726.24 = 852.09 : x
  2. Step 2: Convert to fraction form
    1,251.13/1,726.24 = 852.09/x
  3. Step 3: Cross multiply
    1,251.13x = 1,726.24 × 852.09
  4. Step 4: Simplify right side
    1,251.13x = 1,470,911.84
  5. Step 5: Solve for x
    x = 1,470,911.84/1,251.13
  6. Step 6: Final answer
    x = 1,175.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.