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Finding the Fourth Proportional to 984.13, 1,474.06 and 463.35

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Solution

The fourth proportional to 984.13, 1,474.06 and 463.35 is: 694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.13 : 1,474.06 = 463.35 : x
  2. Step 2: Convert to fraction form
    984.13/1,474.06 = 463.35/x
  3. Step 3: Cross multiply
    984.13x = 1,474.06 × 463.35
  4. Step 4: Simplify right side
    984.13x = 683,005.70
  5. Step 5: Solve for x
    x = 683,005.70/984.13
  6. Step 6: Final answer
    x = 694.02

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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.