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Finding the Fourth Proportional to 920.02, 1,380.01 and 400.03

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Solution

The fourth proportional to 920.02, 1,380.01 and 400.03 is: 600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.02 : 1,380.01 = 400.03 : x
  2. Step 2: Convert to fraction form
    920.02/1,380.01 = 400.03/x
  3. Step 3: Cross multiply
    920.02x = 1,380.01 × 400.03
  4. Step 4: Simplify right side
    920.02x = 552,036.75
  5. Step 5: Solve for x
    x = 552,036.75/920.02
  6. Step 6: Final answer
    x = 600.02

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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.