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Finding the Fourth Proportional to 1,438.74, 2,157.66 and 464.64

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Solution

The fourth proportional to 1,438.74, 2,157.66 and 464.64 is: 696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.74 : 2,157.66 = 464.64 : x
  2. Step 2: Convert to fraction form
    1,438.74/2,157.66 = 464.64/x
  3. Step 3: Cross multiply
    1,438.74x = 2,157.66 × 464.64
  4. Step 4: Simplify right side
    1,438.74x = 1,002,535.14
  5. Step 5: Solve for x
    x = 1,002,535.14/1,438.74
  6. Step 6: Final answer
    x = 696.81

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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.