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Finding the Fourth Proportional to 1,339.54, 2,008.31 and 645.55

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Solution

The fourth proportional to 1,339.54, 2,008.31 and 645.55 is: 967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.54 : 2,008.31 = 645.55 : x
  2. Step 2: Convert to fraction form
    1,339.54/2,008.31 = 645.55/x
  3. Step 3: Cross multiply
    1,339.54x = 2,008.31 × 645.55
  4. Step 4: Simplify right side
    1,339.54x = 1,296,471.20
  5. Step 5: Solve for x
    x = 1,296,471.20/1,339.54
  6. Step 6: Final answer
    x = 967.85

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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.