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Finding the Fourth Proportional to 1,340.98, 2,011.22 and 416.42

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Solution

The fourth proportional to 1,340.98, 2,011.22 and 416.42 is: 624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.98 : 2,011.22 = 416.42 : x
  2. Step 2: Convert to fraction form
    1,340.98/2,011.22 = 416.42/x
  3. Step 3: Cross multiply
    1,340.98x = 2,011.22 × 416.42
  4. Step 4: Simplify right side
    1,340.98x = 837,512.23
  5. Step 5: Solve for x
    x = 837,512.23/1,340.98
  6. Step 6: Final answer
    x = 624.55

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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.