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Finding the Fourth Proportional to 625.20, 856.02 and 625.20

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Solution

The fourth proportional to 625.20, 856.02 and 625.20 is: 856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.20 : 856.02 = 625.20 : x
  2. Step 2: Convert to fraction form
    625.20/856.02 = 625.20/x
  3. Step 3: Cross multiply
    625.20x = 856.02 × 625.20
  4. Step 4: Simplify right side
    625.20x = 535,183.70
  5. Step 5: Solve for x
    x = 535,183.70/625.20
  6. Step 6: Final answer
    x = 856.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.