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Finding the Fourth Proportional to 852.13, 1,175.97 and 520.55

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Solution

The fourth proportional to 852.13, 1,175.97 and 520.55 is: 718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.13 : 1,175.97 = 520.55 : x
  2. Step 2: Convert to fraction form
    852.13/1,175.97 = 520.55/x
  3. Step 3: Cross multiply
    852.13x = 1,175.97 × 520.55
  4. Step 4: Simplify right side
    852.13x = 612,152.04
  5. Step 5: Solve for x
    x = 612,152.04/852.13
  6. Step 6: Final answer
    x = 718.38

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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.