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Finding the Fourth Proportional to 1,408.34, 1,943.34 and 810.92

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Solution

The fourth proportional to 1,408.34, 1,943.34 and 810.92 is: 1,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.34 : 1,943.34 = 810.92 : x
  2. Step 2: Convert to fraction form
    1,408.34/1,943.34 = 810.92/x
  3. Step 3: Cross multiply
    1,408.34x = 1,943.34 × 810.92
  4. Step 4: Simplify right side
    1,408.34x = 1,575,883.56
  5. Step 5: Solve for x
    x = 1,575,883.56/1,408.34
  6. Step 6: Final answer
    x = 1,118.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.