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Finding the Fourth Proportional to 1,230.66, 1,846.32 and 364.98

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Solution

The fourth proportional to 1,230.66, 1,846.32 and 364.98 is: 547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.66 : 1,846.32 = 364.98 : x
  2. Step 2: Convert to fraction form
    1,230.66/1,846.32 = 364.98/x
  3. Step 3: Cross multiply
    1,230.66x = 1,846.32 × 364.98
  4. Step 4: Simplify right side
    1,230.66x = 673,869.87
  5. Step 5: Solve for x
    x = 673,869.87/1,230.66
  6. Step 6: Final answer
    x = 547.57

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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.