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Finding the Fourth Proportional to 852.09, 1,175.91 and 520.66

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Solution

The fourth proportional to 852.09, 1,175.91 and 520.66 is: 718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.09 : 1,175.91 = 520.66 : x
  2. Step 2: Convert to fraction form
    852.09/1,175.91 = 520.66/x
  3. Step 3: Cross multiply
    852.09x = 1,175.91 × 520.66
  4. Step 4: Simplify right side
    852.09x = 612,246.70
  5. Step 5: Solve for x
    x = 612,246.70/852.09
  6. Step 6: Final answer
    x = 718.53

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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.