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Finding the Fourth Proportional to 1,270.94, 1,906.47 and 405.32

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Solution

The fourth proportional to 1,270.94, 1,906.47 and 405.32 is: 607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.94 : 1,906.47 = 405.32 : x
  2. Step 2: Convert to fraction form
    1,270.94/1,906.47 = 405.32/x
  3. Step 3: Cross multiply
    1,270.94x = 1,906.47 × 405.32
  4. Step 4: Simplify right side
    1,270.94x = 772,720.89
  5. Step 5: Solve for x
    x = 772,720.89/1,270.94
  6. Step 6: Final answer
    x = 607.99

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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.