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Finding the Fourth Proportional to 1,297.97, 1,947.27 and 373.52

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Solution

The fourth proportional to 1,297.97, 1,947.27 and 373.52 is: 560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.97 : 1,947.27 = 373.52 : x
  2. Step 2: Convert to fraction form
    1,297.97/1,947.27 = 373.52/x
  3. Step 3: Cross multiply
    1,297.97x = 1,947.27 × 373.52
  4. Step 4: Simplify right side
    1,297.97x = 727,344.29
  5. Step 5: Solve for x
    x = 727,344.29/1,297.97
  6. Step 6: Final answer
    x = 560.37

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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.