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Finding the Fourth Proportional to 1,424.86, 2,137.66 and 450.97

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Solution

The fourth proportional to 1,424.86, 2,137.66 and 450.97 is: 676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.86 : 2,137.66 = 450.97 : x
  2. Step 2: Convert to fraction form
    1,424.86/2,137.66 = 450.97/x
  3. Step 3: Cross multiply
    1,424.86x = 2,137.66 × 450.97
  4. Step 4: Simplify right side
    1,424.86x = 964,014.06
  5. Step 5: Solve for x
    x = 964,014.06/1,424.86
  6. Step 6: Final answer
    x = 676.57

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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.