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Finding the Fourth Proportional to 1,226.73, 1,840.17 and 404.67

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Solution

The fourth proportional to 1,226.73, 1,840.17 and 404.67 is: 607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.73 : 1,840.17 = 404.67 : x
  2. Step 2: Convert to fraction form
    1,226.73/1,840.17 = 404.67/x
  3. Step 3: Cross multiply
    1,226.73x = 1,840.17 × 404.67
  4. Step 4: Simplify right side
    1,226.73x = 744,661.59
  5. Step 5: Solve for x
    x = 744,661.59/1,226.73
  6. Step 6: Final answer
    x = 607.03

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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.