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Finding the Fourth Proportional to 1,438.85, 2,157.81 and 464.72

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Solution

The fourth proportional to 1,438.85, 2,157.81 and 464.72 is: 696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.85 : 2,157.81 = 464.72 : x
  2. Step 2: Convert to fraction form
    1,438.85/2,157.81 = 464.72/x
  3. Step 3: Cross multiply
    1,438.85x = 2,157.81 × 464.72
  4. Step 4: Simplify right side
    1,438.85x = 1,002,766.67
  5. Step 5: Solve for x
    x = 1,002,766.67/1,438.85
  6. Step 6: Final answer
    x = 696.92

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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.