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Finding the Fourth Proportional to 1,471.82, 2,207.80 and 822.06

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Solution

The fourth proportional to 1,471.82, 2,207.80 and 822.06 is: 1,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.82 : 2,207.80 = 822.06 : x
  2. Step 2: Convert to fraction form
    1,471.82/2,207.80 = 822.06/x
  3. Step 3: Cross multiply
    1,471.82x = 2,207.80 × 822.06
  4. Step 4: Simplify right side
    1,471.82x = 1,814,944.07
  5. Step 5: Solve for x
    x = 1,814,944.07/1,471.82
  6. Step 6: Final answer
    x = 1,233.13

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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.