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Finding the Fourth Proportional to 1,424.83, 2,137.47 and 451.16

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Solution

The fourth proportional to 1,424.83, 2,137.47 and 451.16 is: 676.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.83 : 2,137.47 = 451.16 : x
  2. Step 2: Convert to fraction form
    1,424.83/2,137.47 = 451.16/x
  3. Step 3: Cross multiply
    1,424.83x = 2,137.47 × 451.16
  4. Step 4: Simplify right side
    1,424.83x = 964,340.97
  5. Step 5: Solve for x
    x = 964,340.97/1,424.83
  6. Step 6: Final answer
    x = 676.81

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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.