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Finding the Fourth Proportional to 1,204.80, 1,806.17 and 474.21

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Solution

The fourth proportional to 1,204.80, 1,806.17 and 474.21 is: 710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.80 : 1,806.17 = 474.21 : x
  2. Step 2: Convert to fraction form
    1,204.80/1,806.17 = 474.21/x
  3. Step 3: Cross multiply
    1,204.80x = 1,806.17 × 474.21
  4. Step 4: Simplify right side
    1,204.80x = 856,503.88
  5. Step 5: Solve for x
    x = 856,503.88/1,204.80
  6. Step 6: Final answer
    x = 710.91

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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.