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Finding the Fourth Proportional to 1,438.58, 2,157.78 and 464.60

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Solution

The fourth proportional to 1,438.58, 2,157.78 and 464.60 is: 696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.58 : 2,157.78 = 464.60 : x
  2. Step 2: Convert to fraction form
    1,438.58/2,157.78 = 464.60/x
  3. Step 3: Cross multiply
    1,438.58x = 2,157.78 × 464.60
  4. Step 4: Simplify right side
    1,438.58x = 1,002,504.59
  5. Step 5: Solve for x
    x = 1,002,504.59/1,438.58
  6. Step 6: Final answer
    x = 696.87

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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.