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Finding the Fourth Proportional to 728.84, 1,093.66 and 451.58

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Solution

The fourth proportional to 728.84, 1,093.66 and 451.58 is: 677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.84 : 1,093.66 = 451.58 : x
  2. Step 2: Convert to fraction form
    728.84/1,093.66 = 451.58/x
  3. Step 3: Cross multiply
    728.84x = 1,093.66 × 451.58
  4. Step 4: Simplify right side
    728.84x = 493,868.39
  5. Step 5: Solve for x
    x = 493,868.39/728.84
  6. Step 6: Final answer
    x = 677.61

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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.