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Finding the Fourth Proportional to 1,270.74, 1,906.32 and 405

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Solution

The fourth proportional to 1,270.74, 1,906.32 and 405 is: 607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.74 : 1,906.32 = 405 : x
  2. Step 2: Convert to fraction form
    1,270.74/1,906.32 = 405/x
  3. Step 3: Cross multiply
    1,270.74x = 1,906.32 × 405
  4. Step 4: Simplify right side
    1,270.74x = 772,059.60
  5. Step 5: Solve for x
    x = 772,059.60/1,270.74
  6. Step 6: Final answer
    x = 607.57

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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.