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Finding the Fourth Proportional to 1,471.69, 2,206.14 and 546.62

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Solution

The fourth proportional to 1,471.69, 2,206.14 and 546.62 is: 819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.69 : 2,206.14 = 546.62 : x
  2. Step 2: Convert to fraction form
    1,471.69/2,206.14 = 546.62/x
  3. Step 3: Cross multiply
    1,471.69x = 2,206.14 × 546.62
  4. Step 4: Simplify right side
    1,471.69x = 1,205,907.17
  5. Step 5: Solve for x
    x = 1,205,907.17/1,471.69
  6. Step 6: Final answer
    x = 819.41

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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.