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Finding the Fourth Proportional to 1,339.29, 2,008.97 and 414.83

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Solution

The fourth proportional to 1,339.29, 2,008.97 and 414.83 is: 622.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.29 : 2,008.97 = 414.83 : x
  2. Step 2: Convert to fraction form
    1,339.29/2,008.97 = 414.83/x
  3. Step 3: Cross multiply
    1,339.29x = 2,008.97 × 414.83
  4. Step 4: Simplify right side
    1,339.29x = 833,368.91
  5. Step 5: Solve for x
    x = 833,368.91/1,339.29
  6. Step 6: Final answer
    x = 622.25

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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.