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Finding the Fourth Proportional to 799.46, 1,198.34 and 525.75

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Solution

The fourth proportional to 799.46, 1,198.34 and 525.75 is: 788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.46 : 1,198.34 = 525.75 : x
  2. Step 2: Convert to fraction form
    799.46/1,198.34 = 525.75/x
  3. Step 3: Cross multiply
    799.46x = 1,198.34 × 525.75
  4. Step 4: Simplify right side
    799.46x = 630,027.26
  5. Step 5: Solve for x
    x = 630,027.26/799.46
  6. Step 6: Final answer
    x = 788.07

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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.