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Finding the Fourth Proportional to 1,339.40, 2,009.16 and 414.94

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Solution

The fourth proportional to 1,339.40, 2,009.16 and 414.94 is: 622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.40 : 2,009.16 = 414.94 : x
  2. Step 2: Convert to fraction form
    1,339.40/2,009.16 = 414.94/x
  3. Step 3: Cross multiply
    1,339.40x = 2,009.16 × 414.94
  4. Step 4: Simplify right side
    1,339.40x = 833,670.80
  5. Step 5: Solve for x
    x = 833,670.80/1,339.40
  6. Step 6: Final answer
    x = 622.42

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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.