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Finding the Fourth Proportional to 668.44, 1,003.50 and 486.04

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Solution

The fourth proportional to 668.44, 1,003.50 and 486.04 is: 729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.44 : 1,003.50 = 486.04 : x
  2. Step 2: Convert to fraction form
    668.44/1,003.50 = 486.04/x
  3. Step 3: Cross multiply
    668.44x = 1,003.50 × 486.04
  4. Step 4: Simplify right side
    668.44x = 487,741.14
  5. Step 5: Solve for x
    x = 487,741.14/668.44
  6. Step 6: Final answer
    x = 729.67

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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.