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Finding the Fourth Proportional to 800.04, 1,200.30 and 389.40

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Solution

The fourth proportional to 800.04, 1,200.30 and 389.40 is: 584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.04 : 1,200.30 = 389.40 : x
  2. Step 2: Convert to fraction form
    800.04/1,200.30 = 389.40/x
  3. Step 3: Cross multiply
    800.04x = 1,200.30 × 389.40
  4. Step 4: Simplify right side
    800.04x = 467,396.82
  5. Step 5: Solve for x
    x = 467,396.82/800.04
  6. Step 6: Final answer
    x = 584.22

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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.