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Finding the Fourth Proportional to 3,305.02, 4,957.26 and 996.52

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Solution

The fourth proportional to 3,305.02, 4,957.26 and 996.52 is: 1,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.02 : 4,957.26 = 996.52 : x
  2. Step 2: Convert to fraction form
    3,305.02/4,957.26 = 996.52/x
  3. Step 3: Cross multiply
    3,305.02x = 4,957.26 × 996.52
  4. Step 4: Simplify right side
    3,305.02x = 4,940,008.74
  5. Step 5: Solve for x
    x = 4,940,008.74/3,305.02
  6. Step 6: Final answer
    x = 1,494.70

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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.