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Finding the Fourth Proportional to 984.20, 1,476.12 and 399.17

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Solution

The fourth proportional to 984.20, 1,476.12 and 399.17 is: 598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.20 : 1,476.12 = 399.17 : x
  2. Step 2: Convert to fraction form
    984.20/1,476.12 = 399.17/x
  3. Step 3: Cross multiply
    984.20x = 1,476.12 × 399.17
  4. Step 4: Simplify right side
    984.20x = 589,222.82
  5. Step 5: Solve for x
    x = 589,222.82/984.20
  6. Step 6: Final answer
    x = 598.68

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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.