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Finding the Fourth Proportional to 728.88, 1,093.76 and 404.46

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Solution

The fourth proportional to 728.88, 1,093.76 and 404.46 is: 606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.88 : 1,093.76 = 404.46 : x
  2. Step 2: Convert to fraction form
    728.88/1,093.76 = 404.46/x
  3. Step 3: Cross multiply
    728.88x = 1,093.76 × 404.46
  4. Step 4: Simplify right side
    728.88x = 442,382.17
  5. Step 5: Solve for x
    x = 442,382.17/728.88
  6. Step 6: Final answer
    x = 606.93

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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.