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Finding the Fourth Proportional to 1,206.73, 1,810.09 and 426.73

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Solution

The fourth proportional to 1,206.73, 1,810.09 and 426.73 is: 640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.73 : 1,810.09 = 426.73 : x
  2. Step 2: Convert to fraction form
    1,206.73/1,810.09 = 426.73/x
  3. Step 3: Cross multiply
    1,206.73x = 1,810.09 × 426.73
  4. Step 4: Simplify right side
    1,206.73x = 772,419.71
  5. Step 5: Solve for x
    x = 772,419.71/1,206.73
  6. Step 6: Final answer
    x = 640.09

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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.