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Finding the Fourth Proportional to 1,451.62, 2,003.22 and 822.14

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Solution

The fourth proportional to 1,451.62, 2,003.22 and 822.14 is: 1,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.62 : 2,003.22 = 822.14 : x
  2. Step 2: Convert to fraction form
    1,451.62/2,003.22 = 822.14/x
  3. Step 3: Cross multiply
    1,451.62x = 2,003.22 × 822.14
  4. Step 4: Simplify right side
    1,451.62x = 1,646,927.29
  5. Step 5: Solve for x
    x = 1,646,927.29/1,451.62
  6. Step 6: Final answer
    x = 1,134.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.