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Finding the Fourth Proportional to 1,471.12, 2,206.72 and 546.90

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Solution

The fourth proportional to 1,471.12, 2,206.72 and 546.90 is: 820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.12 : 2,206.72 = 546.90 : x
  2. Step 2: Convert to fraction form
    1,471.12/2,206.72 = 546.90/x
  3. Step 3: Cross multiply
    1,471.12x = 2,206.72 × 546.90
  4. Step 4: Simplify right side
    1,471.12x = 1,206,855.17
  5. Step 5: Solve for x
    x = 1,206,855.17/1,471.12
  6. Step 6: Final answer
    x = 820.36

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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.