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Finding the Fourth Proportional to 1,372.78, 2,058.80 and 495.14

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Solution

The fourth proportional to 1,372.78, 2,058.80 and 495.14 is: 742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.78 : 2,058.80 = 495.14 : x
  2. Step 2: Convert to fraction form
    1,372.78/2,058.80 = 495.14/x
  3. Step 3: Cross multiply
    1,372.78x = 2,058.80 × 495.14
  4. Step 4: Simplify right side
    1,372.78x = 1,019,394.23
  5. Step 5: Solve for x
    x = 1,019,394.23/1,372.78
  6. Step 6: Final answer
    x = 742.58

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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.