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Finding the Fourth Proportional to 984.61, 1,474.63 and 522.15

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Solution

The fourth proportional to 984.61, 1,474.63 and 522.15 is: 782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.61 : 1,474.63 = 522.15 : x
  2. Step 2: Convert to fraction form
    984.61/1,474.63 = 522.15/x
  3. Step 3: Cross multiply
    984.61x = 1,474.63 × 522.15
  4. Step 4: Simplify right side
    984.61x = 769,972.69
  5. Step 5: Solve for x
    x = 769,972.69/984.61
  6. Step 6: Final answer
    x = 782.01

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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.