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Finding the Fourth Proportional to 800.84, 1,104.07 and 614

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Solution

The fourth proportional to 800.84, 1,104.07 and 614 is: 846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.84 : 1,104.07 = 614 : x
  2. Step 2: Convert to fraction form
    800.84/1,104.07 = 614/x
  3. Step 3: Cross multiply
    800.84x = 1,104.07 × 614
  4. Step 4: Simplify right side
    800.84x = 677,898.98
  5. Step 5: Solve for x
    x = 677,898.98/800.84
  6. Step 6: Final answer
    x = 846.48

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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.