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Finding the Fourth Proportional to 1,230.44, 1,846.02 and 364.78

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Solution

The fourth proportional to 1,230.44, 1,846.02 and 364.78 is: 547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.44 : 1,846.02 = 364.78 : x
  2. Step 2: Convert to fraction form
    1,230.44/1,846.02 = 364.78/x
  3. Step 3: Cross multiply
    1,230.44x = 1,846.02 × 364.78
  4. Step 4: Simplify right side
    1,230.44x = 673,381.95
  5. Step 5: Solve for x
    x = 673,381.95/1,230.44
  6. Step 6: Final answer
    x = 547.27

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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.