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Finding the Fourth Proportional to 1,207.55, 1,811.18 and 820.04

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Solution

The fourth proportional to 1,207.55, 1,811.18 and 820.04 is: 1,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.55 : 1,811.18 = 820.04 : x
  2. Step 2: Convert to fraction form
    1,207.55/1,811.18 = 820.04/x
  3. Step 3: Cross multiply
    1,207.55x = 1,811.18 × 820.04
  4. Step 4: Simplify right side
    1,207.55x = 1,485,233.04
  5. Step 5: Solve for x
    x = 1,485,233.04/1,207.55
  6. Step 6: Final answer
    x = 1,229.96

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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.