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Finding the Fourth Proportional to 1,424.37, 2,134.92 and 653.25

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Solution

The fourth proportional to 1,424.37, 2,134.92 and 653.25 is: 979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.37 : 2,134.92 = 653.25 : x
  2. Step 2: Convert to fraction form
    1,424.37/2,134.92 = 653.25/x
  3. Step 3: Cross multiply
    1,424.37x = 2,134.92 × 653.25
  4. Step 4: Simplify right side
    1,424.37x = 1,394,636.49
  5. Step 5: Solve for x
    x = 1,394,636.49/1,424.37
  6. Step 6: Final answer
    x = 979.13

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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.