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Finding the Fourth Proportional to 1,230.64, 1,846.19 and 409.00

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Solution

The fourth proportional to 1,230.64, 1,846.19 and 409.00 is: 613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.64 : 1,846.19 = 409.00 : x
  2. Step 2: Convert to fraction form
    1,230.64/1,846.19 = 409.00/x
  3. Step 3: Cross multiply
    1,230.64x = 1,846.19 × 409.00
  4. Step 4: Simplify right side
    1,230.64x = 755,091.58
  5. Step 5: Solve for x
    x = 755,091.58/1,230.64
  6. Step 6: Final answer
    x = 613.57

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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.