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Finding the Fourth Proportional to 1,471.27, 2,206.71 and 546.82

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Solution

The fourth proportional to 1,471.27, 2,206.71 and 546.82 is: 820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.27 : 2,206.71 = 546.82 : x
  2. Step 2: Convert to fraction form
    1,471.27/2,206.71 = 546.82/x
  3. Step 3: Cross multiply
    1,471.27x = 2,206.71 × 546.82
  4. Step 4: Simplify right side
    1,471.27x = 1,206,673.16
  5. Step 5: Solve for x
    x = 1,206,673.16/1,471.27
  6. Step 6: Final answer
    x = 820.16

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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.