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Finding the Fourth Proportional to 820.09, 1,229.76 and 357.64

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Solution

The fourth proportional to 820.09, 1,229.76 and 357.64 is: 536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.09 : 1,229.76 = 357.64 : x
  2. Step 2: Convert to fraction form
    820.09/1,229.76 = 357.64/x
  3. Step 3: Cross multiply
    820.09x = 1,229.76 × 357.64
  4. Step 4: Simplify right side
    820.09x = 439,803.43
  5. Step 5: Solve for x
    x = 439,803.43/820.09
  6. Step 6: Final answer
    x = 536.29

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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.