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Finding the Fourth Proportional to 1,230.22, 1,845.06 and 364.60

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Solution

The fourth proportional to 1,230.22, 1,845.06 and 364.60 is: 546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.22 : 1,845.06 = 364.60 : x
  2. Step 2: Convert to fraction form
    1,230.22/1,845.06 = 364.60/x
  3. Step 3: Cross multiply
    1,230.22x = 1,845.06 × 364.60
  4. Step 4: Simplify right side
    1,230.22x = 672,708.88
  5. Step 5: Solve for x
    x = 672,708.88/1,230.22
  6. Step 6: Final answer
    x = 546.82

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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.