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Finding the Fourth Proportional to 984.14, 1,474.16 and 464.58

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Solution

The fourth proportional to 984.14, 1,474.16 and 464.58 is: 695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.14 : 1,474.16 = 464.58 : x
  2. Step 2: Convert to fraction form
    984.14/1,474.16 = 464.58/x
  3. Step 3: Cross multiply
    984.14x = 1,474.16 × 464.58
  4. Step 4: Simplify right side
    984.14x = 684,865.25
  5. Step 5: Solve for x
    x = 684,865.25/984.14
  6. Step 6: Final answer
    x = 695.90

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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.