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Finding the Fourth Proportional to 3,263.32, 4,894.95 and 798.17

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Solution

The fourth proportional to 3,263.32, 4,894.95 and 798.17 is: 1,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.32 : 4,894.95 = 798.17 : x
  2. Step 2: Convert to fraction form
    3,263.32/4,894.95 = 798.17/x
  3. Step 3: Cross multiply
    3,263.32x = 4,894.95 × 798.17
  4. Step 4: Simplify right side
    3,263.32x = 3,907,002.24
  5. Step 5: Solve for x
    x = 3,907,002.24/3,263.32
  6. Step 6: Final answer
    x = 1,197.25

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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.