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Finding the Fourth Proportional to 1,297.63, 1,947.32 and 566.78

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Solution

The fourth proportional to 1,297.63, 1,947.32 and 566.78 is: 850.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.63 : 1,947.32 = 566.78 : x
  2. Step 2: Convert to fraction form
    1,297.63/1,947.32 = 566.78/x
  3. Step 3: Cross multiply
    1,297.63x = 1,947.32 × 566.78
  4. Step 4: Simplify right side
    1,297.63x = 1,103,702.03
  5. Step 5: Solve for x
    x = 1,103,702.03/1,297.63
  6. Step 6: Final answer
    x = 850.55

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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.