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Finding the Fourth Proportional to 1,230.77, 1,846.08 and 408.98

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Solution

The fourth proportional to 1,230.77, 1,846.08 and 408.98 is: 613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.77 : 1,846.08 = 408.98 : x
  2. Step 2: Convert to fraction form
    1,230.77/1,846.08 = 408.98/x
  3. Step 3: Cross multiply
    1,230.77x = 1,846.08 × 408.98
  4. Step 4: Simplify right side
    1,230.77x = 755,014.41
  5. Step 5: Solve for x
    x = 755,014.41/1,230.77
  6. Step 6: Final answer
    x = 613.45

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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.