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Finding the Fourth Proportional to 1,249.64, 1,874.50 and 427.77

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Solution

The fourth proportional to 1,249.64, 1,874.50 and 427.77 is: 641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.64 : 1,874.50 = 427.77 : x
  2. Step 2: Convert to fraction form
    1,249.64/1,874.50 = 427.77/x
  3. Step 3: Cross multiply
    1,249.64x = 1,874.50 × 427.77
  4. Step 4: Simplify right side
    1,249.64x = 801,854.87
  5. Step 5: Solve for x
    x = 801,854.87/1,249.64
  6. Step 6: Final answer
    x = 641.67

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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.