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Finding the Fourth Proportional to 1,270.98, 1,906.49 and 393.47

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Solution

The fourth proportional to 1,270.98, 1,906.49 and 393.47 is: 590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.98 : 1,906.49 = 393.47 : x
  2. Step 2: Convert to fraction form
    1,270.98/1,906.49 = 393.47/x
  3. Step 3: Cross multiply
    1,270.98x = 1,906.49 × 393.47
  4. Step 4: Simplify right side
    1,270.98x = 750,145.69
  5. Step 5: Solve for x
    x = 750,145.69/1,270.98
  6. Step 6: Final answer
    x = 590.21

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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.