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Finding the Fourth Proportional to 1,424.43, 2,135.84 and 693.09

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Solution

The fourth proportional to 1,424.43, 2,135.84 and 693.09 is: 1,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.43 : 2,135.84 = 693.09 : x
  2. Step 2: Convert to fraction form
    1,424.43/2,135.84 = 693.09/x
  3. Step 3: Cross multiply
    1,424.43x = 2,135.84 × 693.09
  4. Step 4: Simplify right side
    1,424.43x = 1,480,325.88
  5. Step 5: Solve for x
    x = 1,480,325.88/1,424.43
  6. Step 6: Final answer
    x = 1,039.24

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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.