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Finding the Fourth Proportional to 984.90, 1,477.17 and 399.99

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Solution

The fourth proportional to 984.90, 1,477.17 and 399.99 is: 599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.90 : 1,477.17 = 399.99 : x
  2. Step 2: Convert to fraction form
    984.90/1,477.17 = 399.99/x
  3. Step 3: Cross multiply
    984.90x = 1,477.17 × 399.99
  4. Step 4: Simplify right side
    984.90x = 590,853.23
  5. Step 5: Solve for x
    x = 590,853.23/984.90
  6. Step 6: Final answer
    x = 599.91

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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.