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Finding the Fourth Proportional to 1,747.91, 2,620.63 and 822.99

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Solution

The fourth proportional to 1,747.91, 2,620.63 and 822.99 is: 1,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.91 : 2,620.63 = 822.99 : x
  2. Step 2: Convert to fraction form
    1,747.91/2,620.63 = 822.99/x
  3. Step 3: Cross multiply
    1,747.91x = 2,620.63 × 822.99
  4. Step 4: Simplify right side
    1,747.91x = 2,156,763.14
  5. Step 5: Solve for x
    x = 2,156,763.14/1,747.91
  6. Step 6: Final answer
    x = 1,233.91

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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.