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Finding the Fourth Proportional to 1,339.33, 2,009.31 and 414.84

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Solution

The fourth proportional to 1,339.33, 2,009.31 and 414.84 is: 622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.33 : 2,009.31 = 414.84 : x
  2. Step 2: Convert to fraction form
    1,339.33/2,009.31 = 414.84/x
  3. Step 3: Cross multiply
    1,339.33x = 2,009.31 × 414.84
  4. Step 4: Simplify right side
    1,339.33x = 833,536.84
  5. Step 5: Solve for x
    x = 833,536.84/1,339.33
  6. Step 6: Final answer
    x = 622.35

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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.