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Finding the Fourth Proportional to 1,297.82, 1,947.82 and 528.86

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Solution

The fourth proportional to 1,297.82, 1,947.82 and 528.86 is: 793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.82 : 1,947.82 = 528.86 : x
  2. Step 2: Convert to fraction form
    1,297.82/1,947.82 = 528.86/x
  3. Step 3: Cross multiply
    1,297.82x = 1,947.82 × 528.86
  4. Step 4: Simplify right side
    1,297.82x = 1,030,124.09
  5. Step 5: Solve for x
    x = 1,030,124.09/1,297.82
  6. Step 6: Final answer
    x = 793.73

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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.