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Finding the Fourth Proportional to 1,402.61, 2,104.38 and 622.51

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Solution

The fourth proportional to 1,402.61, 2,104.38 and 622.51 is: 933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.61 : 2,104.38 = 622.51 : x
  2. Step 2: Convert to fraction form
    1,402.61/2,104.38 = 622.51/x
  3. Step 3: Cross multiply
    1,402.61x = 2,104.38 × 622.51
  4. Step 4: Simplify right side
    1,402.61x = 1,309,997.59
  5. Step 5: Solve for x
    x = 1,309,997.59/1,402.61
  6. Step 6: Final answer
    x = 933.97

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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.