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Finding the Fourth Proportional to 1,297.13, 1,945.78 and 639.35

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Solution

The fourth proportional to 1,297.13, 1,945.78 and 639.35 is: 959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.13 : 1,945.78 = 639.35 : x
  2. Step 2: Convert to fraction form
    1,297.13/1,945.78 = 639.35/x
  3. Step 3: Cross multiply
    1,297.13x = 1,945.78 × 639.35
  4. Step 4: Simplify right side
    1,297.13x = 1,244,034.44
  5. Step 5: Solve for x
    x = 1,244,034.44/1,297.13
  6. Step 6: Final answer
    x = 959.07

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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.