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Finding the Fourth Proportional to 3,263.49, 4,895.21 and 798.32

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Solution

The fourth proportional to 3,263.49, 4,895.21 and 798.32 is: 1,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.49 : 4,895.21 = 798.32 : x
  2. Step 2: Convert to fraction form
    3,263.49/4,895.21 = 798.32/x
  3. Step 3: Cross multiply
    3,263.49x = 4,895.21 × 798.32
  4. Step 4: Simplify right side
    3,263.49x = 3,907,915.58
  5. Step 5: Solve for x
    x = 3,907,915.58/3,263.49
  6. Step 6: Final answer
    x = 1,197.47

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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.