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Finding the Fourth Proportional to 3,263.82, 4,895.70 and 798.67

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Solution

The fourth proportional to 3,263.82, 4,895.70 and 798.67 is: 1,198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.82 : 4,895.70 = 798.67 : x
  2. Step 2: Convert to fraction form
    3,263.82/4,895.70 = 798.67/x
  3. Step 3: Cross multiply
    3,263.82x = 4,895.70 × 798.67
  4. Step 4: Simplify right side
    3,263.82x = 3,910,048.72
  5. Step 5: Solve for x
    x = 3,910,048.72/3,263.82
  6. Step 6: Final answer
    x = 1,198.00

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1.5x scale

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.