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Finding the Fourth Proportional to 984.60, 1,474.04 and 691.72

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Solution

The fourth proportional to 984.60, 1,474.04 and 691.72 is: 1,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.60 : 1,474.04 = 691.72 : x
  2. Step 2: Convert to fraction form
    984.60/1,474.04 = 691.72/x
  3. Step 3: Cross multiply
    984.60x = 1,474.04 × 691.72
  4. Step 4: Simplify right side
    984.60x = 1,019,622.95
  5. Step 5: Solve for x
    x = 1,019,622.95/984.60
  6. Step 6: Final answer
    x = 1,035.57

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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.