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Finding the Fourth Proportional to 920.36, 1,380.09 and 400.80

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Solution

The fourth proportional to 920.36, 1,380.09 and 400.80 is: 601.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.36 : 1,380.09 = 400.80 : x
  2. Step 2: Convert to fraction form
    920.36/1,380.09 = 400.80/x
  3. Step 3: Cross multiply
    920.36x = 1,380.09 × 400.80
  4. Step 4: Simplify right side
    920.36x = 553,136.73
  5. Step 5: Solve for x
    x = 553,136.73/920.36
  6. Step 6: Final answer
    x = 601.00

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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.