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Finding the Fourth Proportional to 820.05, 1,131.67 and 525.49

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Solution

The fourth proportional to 820.05, 1,131.67 and 525.49 is: 725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.05 : 1,131.67 = 525.49 : x
  2. Step 2: Convert to fraction form
    820.05/1,131.67 = 525.49/x
  3. Step 3: Cross multiply
    820.05x = 1,131.67 × 525.49
  4. Step 4: Simplify right side
    820.05x = 594,679.10
  5. Step 5: Solve for x
    x = 594,679.10/820.05
  6. Step 6: Final answer
    x = 725.18

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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.