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Finding the Fourth Proportional to 1,339.23, 2,008.60 and 414.65

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Solution

The fourth proportional to 1,339.23, 2,008.60 and 414.65 is: 621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.23 : 2,008.60 = 414.65 : x
  2. Step 2: Convert to fraction form
    1,339.23/2,008.60 = 414.65/x
  3. Step 3: Cross multiply
    1,339.23x = 2,008.60 × 414.65
  4. Step 4: Simplify right side
    1,339.23x = 832,869.97
  5. Step 5: Solve for x
    x = 832,869.97/1,339.23
  6. Step 6: Final answer
    x = 621.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.