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Finding the Fourth Proportional to 725.02, 1,087.36 and 464.64

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Solution

The fourth proportional to 725.02, 1,087.36 and 464.64 is: 696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.02 : 1,087.36 = 464.64 : x
  2. Step 2: Convert to fraction form
    725.02/1,087.36 = 464.64/x
  3. Step 3: Cross multiply
    725.02x = 1,087.36 × 464.64
  4. Step 4: Simplify right side
    725.02x = 505,230.95
  5. Step 5: Solve for x
    x = 505,230.95/725.02
  6. Step 6: Final answer
    x = 696.85

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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.