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Finding the Fourth Proportional to 1,394.60, 2,091.41 and 407.14

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Solution

The fourth proportional to 1,394.60, 2,091.41 and 407.14 is: 610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.60 : 2,091.41 = 407.14 : x
  2. Step 2: Convert to fraction form
    1,394.60/2,091.41 = 407.14/x
  3. Step 3: Cross multiply
    1,394.60x = 2,091.41 × 407.14
  4. Step 4: Simplify right side
    1,394.60x = 851,496.67
  5. Step 5: Solve for x
    x = 851,496.67/1,394.60
  6. Step 6: Final answer
    x = 610.57

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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.