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Finding the Fourth Proportional to 1,438.47, 2,157.74 and 464.53

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Solution

The fourth proportional to 1,438.47, 2,157.74 and 464.53 is: 696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.47 : 2,157.74 = 464.53 : x
  2. Step 2: Convert to fraction form
    1,438.47/2,157.74 = 464.53/x
  3. Step 3: Cross multiply
    1,438.47x = 2,157.74 × 464.53
  4. Step 4: Simplify right side
    1,438.47x = 1,002,334.96
  5. Step 5: Solve for x
    x = 1,002,334.96/1,438.47
  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.