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Finding the Fourth Proportional to 724.12, 1,086.46 and 464.02

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Solution

The fourth proportional to 724.12, 1,086.46 and 464.02 is: 696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.12 : 1,086.46 = 464.02 : x
  2. Step 2: Convert to fraction form
    724.12/1,086.46 = 464.02/x
  3. Step 3: Cross multiply
    724.12x = 1,086.46 × 464.02
  4. Step 4: Simplify right side
    724.12x = 504,139.17
  5. Step 5: Solve for x
    x = 504,139.17/724.12
  6. Step 6: Final answer
    x = 696.21

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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.