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Finding the Fourth Proportional to 1,270.57, 1,906.36 and 448.93

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Solution

The fourth proportional to 1,270.57, 1,906.36 and 448.93 is: 673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.57 : 1,906.36 = 448.93 : x
  2. Step 2: Convert to fraction form
    1,270.57/1,906.36 = 448.93/x
  3. Step 3: Cross multiply
    1,270.57x = 1,906.36 × 448.93
  4. Step 4: Simplify right side
    1,270.57x = 855,812.66
  5. Step 5: Solve for x
    x = 855,812.66/1,270.57
  6. Step 6: Final answer
    x = 673.57

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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.