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Finding the Fourth Proportional to 1,249.25, 1,873.87 and 518.74

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Solution

The fourth proportional to 1,249.25, 1,873.87 and 518.74 is: 778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.25 : 1,873.87 = 518.74 : x
  2. Step 2: Convert to fraction form
    1,249.25/1,873.87 = 518.74/x
  3. Step 3: Cross multiply
    1,249.25x = 1,873.87 × 518.74
  4. Step 4: Simplify right side
    1,249.25x = 972,045.34
  5. Step 5: Solve for x
    x = 972,045.34/1,249.25
  6. Step 6: Final answer
    x = 778.11

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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.