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Finding the Fourth Proportional to 1,107.40, 1,661.16 and 337.84

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Solution

The fourth proportional to 1,107.40, 1,661.16 and 337.84 is: 506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.40 : 1,661.16 = 337.84 : x
  2. Step 2: Convert to fraction form
    1,107.40/1,661.16 = 337.84/x
  3. Step 3: Cross multiply
    1,107.40x = 1,661.16 × 337.84
  4. Step 4: Simplify right side
    1,107.40x = 561,206.29
  5. Step 5: Solve for x
    x = 561,206.29/1,107.40
  6. Step 6: Final answer
    x = 506.78

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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.