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Finding the Fourth Proportional to 1,249.68, 1,874.68 and 519.16

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Solution

The fourth proportional to 1,249.68, 1,874.68 and 519.16 is: 778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.68 : 1,874.68 = 519.16 : x
  2. Step 2: Convert to fraction form
    1,249.68/1,874.68 = 519.16/x
  3. Step 3: Cross multiply
    1,249.68x = 1,874.68 × 519.16
  4. Step 4: Simplify right side
    1,249.68x = 973,258.87
  5. Step 5: Solve for x
    x = 973,258.87/1,249.68
  6. Step 6: Final answer
    x = 778.81

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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.