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Finding the Fourth Proportional to 1,339.06, 2,008.60 and 414.59

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Solution

The fourth proportional to 1,339.06, 2,008.60 and 414.59 is: 621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.06 : 2,008.60 = 414.59 : x
  2. Step 2: Convert to fraction form
    1,339.06/2,008.60 = 414.59/x
  3. Step 3: Cross multiply
    1,339.06x = 2,008.60 × 414.59
  4. Step 4: Simplify right side
    1,339.06x = 832,745.47
  5. Step 5: Solve for x
    x = 832,745.47/1,339.06
  6. Step 6: Final answer
    x = 621.89

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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.