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Finding the Fourth Proportional to 685.04, 1,027.04 and 252.12

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Solution

The fourth proportional to 685.04, 1,027.04 and 252.12 is: 377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.04 : 1,027.04 = 252.12 : x
  2. Step 2: Convert to fraction form
    685.04/1,027.04 = 252.12/x
  3. Step 3: Cross multiply
    685.04x = 1,027.04 × 252.12
  4. Step 4: Simplify right side
    685.04x = 258,937.32
  5. Step 5: Solve for x
    x = 258,937.32/685.04
  6. Step 6: Final answer
    x = 377.99

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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.