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Finding the Fourth Proportional to 1,297.86, 1,947.24 and 517.47

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Solution

The fourth proportional to 1,297.86, 1,947.24 and 517.47 is: 776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.86 : 1,947.24 = 517.47 : x
  2. Step 2: Convert to fraction form
    1,297.86/1,947.24 = 517.47/x
  3. Step 3: Cross multiply
    1,297.86x = 1,947.24 × 517.47
  4. Step 4: Simplify right side
    1,297.86x = 1,007,638.28
  5. Step 5: Solve for x
    x = 1,007,638.28/1,297.86
  6. Step 6: Final answer
    x = 776.38

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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.