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Finding the Fourth Proportional to 1,463.99, 2,194.35 and 879.77

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Solution

The fourth proportional to 1,463.99, 2,194.35 and 879.77 is: 1,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.99 : 2,194.35 = 879.77 : x
  2. Step 2: Convert to fraction form
    1,463.99/2,194.35 = 879.77/x
  3. Step 3: Cross multiply
    1,463.99x = 2,194.35 × 879.77
  4. Step 4: Simplify right side
    1,463.99x = 1,930,523.30
  5. Step 5: Solve for x
    x = 1,930,523.30/1,463.99
  6. Step 6: Final answer
    x = 1,318.67

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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.