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Finding the Fourth Proportional to 1,297.97, 1,947.59 and 567.44

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Solution

The fourth proportional to 1,297.97, 1,947.59 and 567.44 is: 851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.97 : 1,947.59 = 567.44 : x
  2. Step 2: Convert to fraction form
    1,297.97/1,947.59 = 567.44/x
  3. Step 3: Cross multiply
    1,297.97x = 1,947.59 × 567.44
  4. Step 4: Simplify right side
    1,297.97x = 1,105,140.47
  5. Step 5: Solve for x
    x = 1,105,140.47/1,297.97
  6. Step 6: Final answer
    x = 851.44

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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.