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Finding the Fourth Proportional to 1,230.37, 1,845.86 and 364.68

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Solution

The fourth proportional to 1,230.37, 1,845.86 and 364.68 is: 547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.37 : 1,845.86 = 364.68 : x
  2. Step 2: Convert to fraction form
    1,230.37/1,845.86 = 364.68/x
  3. Step 3: Cross multiply
    1,230.37x = 1,845.86 × 364.68
  4. Step 4: Simplify right side
    1,230.37x = 673,146.40
  5. Step 5: Solve for x
    x = 673,146.40/1,230.37
  6. Step 6: Final answer
    x = 547.11

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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.