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Finding the Fourth Proportional to 1,424.96, 2,137.66 and 451.28

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Solution

The fourth proportional to 1,424.96, 2,137.66 and 451.28 is: 676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.96 : 2,137.66 = 451.28 : x
  2. Step 2: Convert to fraction form
    1,424.96/2,137.66 = 451.28/x
  3. Step 3: Cross multiply
    1,424.96x = 2,137.66 × 451.28
  4. Step 4: Simplify right side
    1,424.96x = 964,687.42
  5. Step 5: Solve for x
    x = 964,687.42/1,424.96
  6. Step 6: Final answer
    x = 676.99

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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.