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Finding the Fourth Proportional to 684.96, 1,027.52 and 252.02

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Solution

The fourth proportional to 684.96, 1,027.52 and 252.02 is: 378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.96 : 1,027.52 = 252.02 : x
  2. Step 2: Convert to fraction form
    684.96/1,027.52 = 252.02/x
  3. Step 3: Cross multiply
    684.96x = 1,027.52 × 252.02
  4. Step 4: Simplify right side
    684.96x = 258,949.19
  5. Step 5: Solve for x
    x = 258,949.19/684.96
  6. Step 6: Final answer
    x = 378.05

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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.