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Finding the Fourth Proportional to 3,264.18, 4,896.24 and 798.98

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Solution

The fourth proportional to 3,264.18, 4,896.24 and 798.98 is: 1,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.18 : 4,896.24 = 798.98 : x
  2. Step 2: Convert to fraction form
    3,264.18/4,896.24 = 798.98/x
  3. Step 3: Cross multiply
    3,264.18x = 4,896.24 × 798.98
  4. Step 4: Simplify right side
    3,264.18x = 3,911,973.35
  5. Step 5: Solve for x
    x = 3,911,973.35/3,264.18
  6. Step 6: Final answer
    x = 1,198.46

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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.