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Finding the Fourth Proportional to 3,298.19, 4,947.29 and 833

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Solution

The fourth proportional to 3,298.19, 4,947.29 and 833 is: 1,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.19 : 4,947.29 = 833 : x
  2. Step 2: Convert to fraction form
    3,298.19/4,947.29 = 833/x
  3. Step 3: Cross multiply
    3,298.19x = 4,947.29 × 833
  4. Step 4: Simplify right side
    3,298.19x = 4,121,092.57
  5. Step 5: Solve for x
    x = 4,121,092.57/3,298.19
  6. Step 6: Final answer
    x = 1,249.50

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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.