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Finding the Fourth Proportional to 1,204.21, 1,806.21 and 424.66

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Solution

The fourth proportional to 1,204.21, 1,806.21 and 424.66 is: 636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.21 : 1,806.21 = 424.66 : x
  2. Step 2: Convert to fraction form
    1,204.21/1,806.21 = 424.66/x
  3. Step 3: Cross multiply
    1,204.21x = 1,806.21 × 424.66
  4. Step 4: Simplify right side
    1,204.21x = 767,025.14
  5. Step 5: Solve for x
    x = 767,025.14/1,204.21
  6. Step 6: Final answer
    x = 636.95

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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.