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Finding the Fourth Proportional to 984.46, 1,476.67 and 399.45

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Solution

The fourth proportional to 984.46, 1,476.67 and 399.45 is: 599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.46 : 1,476.67 = 399.45 : x
  2. Step 2: Convert to fraction form
    984.46/1,476.67 = 399.45/x
  3. Step 3: Cross multiply
    984.46x = 1,476.67 × 399.45
  4. Step 4: Simplify right side
    984.46x = 589,855.83
  5. Step 5: Solve for x
    x = 589,855.83/984.46
  6. Step 6: Final answer
    x = 599.17

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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.