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Finding the Fourth Proportional to 1,352.66, 2,027.40 and 622.30

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Solution

The fourth proportional to 1,352.66, 2,027.40 and 622.30 is: 932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.66 : 2,027.40 = 622.30 : x
  2. Step 2: Convert to fraction form
    1,352.66/2,027.40 = 622.30/x
  3. Step 3: Cross multiply
    1,352.66x = 2,027.40 × 622.30
  4. Step 4: Simplify right side
    1,352.66x = 1,261,651.02
  5. Step 5: Solve for x
    x = 1,261,651.02/1,352.66
  6. Step 6: Final answer
    x = 932.72

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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.