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Finding the Fourth Proportional to 1,270.90, 1,906.49 and 405.01

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Solution

The fourth proportional to 1,270.90, 1,906.49 and 405.01 is: 607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.90 : 1,906.49 = 405.01 : x
  2. Step 2: Convert to fraction form
    1,270.90/1,906.49 = 405.01/x
  3. Step 3: Cross multiply
    1,270.90x = 1,906.49 × 405.01
  4. Step 4: Simplify right side
    1,270.90x = 772,145.49
  5. Step 5: Solve for x
    x = 772,145.49/1,270.90
  6. Step 6: Final answer
    x = 607.56

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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.