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Finding the Fourth Proportional to 1,230.85, 1,846.77 and 450.91

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Solution

The fourth proportional to 1,230.85, 1,846.77 and 450.91 is: 676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.85 : 1,846.77 = 450.91 : x
  2. Step 2: Convert to fraction form
    1,230.85/1,846.77 = 450.91/x
  3. Step 3: Cross multiply
    1,230.85x = 1,846.77 × 450.91
  4. Step 4: Simplify right side
    1,230.85x = 832,727.06
  5. Step 5: Solve for x
    x = 832,727.06/1,230.85
  6. Step 6: Final answer
    x = 676.55

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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.