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Finding the Fourth Proportional to 1,392.02, 2,087.89 and 366.02

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Solution

The fourth proportional to 1,392.02, 2,087.89 and 366.02 is: 548.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.02 : 2,087.89 = 366.02 : x
  2. Step 2: Convert to fraction form
    1,392.02/2,087.89 = 366.02/x
  3. Step 3: Cross multiply
    1,392.02x = 2,087.89 × 366.02
  4. Step 4: Simplify right side
    1,392.02x = 764,207.35
  5. Step 5: Solve for x
    x = 764,207.35/1,392.02
  6. Step 6: Final answer
    x = 548.99

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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.