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Finding the Fourth Proportional to 1,201.22, 1,800.26 and 615.72

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Solution

The fourth proportional to 1,201.22, 1,800.26 and 615.72 is: 922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.22 : 1,800.26 = 615.72 : x
  2. Step 2: Convert to fraction form
    1,201.22/1,800.26 = 615.72/x
  3. Step 3: Cross multiply
    1,201.22x = 1,800.26 × 615.72
  4. Step 4: Simplify right side
    1,201.22x = 1,108,462.07
  5. Step 5: Solve for x
    x = 1,108,462.07/1,201.22
  6. Step 6: Final answer
    x = 922.78

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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.