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Finding the Fourth Proportional to 1,380.66, 2,071.01 and 406.76

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Solution

The fourth proportional to 1,380.66, 2,071.01 and 406.76 is: 610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.66 : 2,071.01 = 406.76 : x
  2. Step 2: Convert to fraction form
    1,380.66/2,071.01 = 406.76/x
  3. Step 3: Cross multiply
    1,380.66x = 2,071.01 × 406.76
  4. Step 4: Simplify right side
    1,380.66x = 842,400.57
  5. Step 5: Solve for x
    x = 842,400.57/1,380.66
  6. Step 6: Final answer
    x = 610.14

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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.