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Finding the Fourth Proportional to 1,230.13, 1,845.49 and 364.44

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Solution

The fourth proportional to 1,230.13, 1,845.49 and 364.44 is: 546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.13 : 1,845.49 = 364.44 : x
  2. Step 2: Convert to fraction form
    1,230.13/1,845.49 = 364.44/x
  3. Step 3: Cross multiply
    1,230.13x = 1,845.49 × 364.44
  4. Step 4: Simplify right side
    1,230.13x = 672,570.38
  5. Step 5: Solve for x
    x = 672,570.38/1,230.13
  6. Step 6: Final answer
    x = 546.75

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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.