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Finding the Fourth Proportional to 1,471.60, 2,206.86 and 546.94

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Solution

The fourth proportional to 1,471.60, 2,206.86 and 546.94 is: 820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.60 : 2,206.86 = 546.94 : x
  2. Step 2: Convert to fraction form
    1,471.60/2,206.86 = 546.94/x
  3. Step 3: Cross multiply
    1,471.60x = 2,206.86 × 546.94
  4. Step 4: Simplify right side
    1,471.60x = 1,207,020.01
  5. Step 5: Solve for x
    x = 1,207,020.01/1,471.60
  6. Step 6: Final answer
    x = 820.21

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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.