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Finding the Fourth Proportional to 984.57, 1,477.16 and 399.29

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Solution

The fourth proportional to 984.57, 1,477.16 and 399.29 is: 599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.57 : 1,477.16 = 399.29 : x
  2. Step 2: Convert to fraction form
    984.57/1,477.16 = 399.29/x
  3. Step 3: Cross multiply
    984.57x = 1,477.16 × 399.29
  4. Step 4: Simplify right side
    984.57x = 589,805.83
  5. Step 5: Solve for x
    x = 589,805.83/984.57
  6. Step 6: Final answer
    x = 599.05

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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.