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Finding the Fourth Proportional to 848.97, 1,269.81 and 728.73

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Solution

The fourth proportional to 848.97, 1,269.81 and 728.73 is: 1,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.97 : 1,269.81 = 728.73 : x
  2. Step 2: Convert to fraction form
    848.97/1,269.81 = 728.73/x
  3. Step 3: Cross multiply
    848.97x = 1,269.81 × 728.73
  4. Step 4: Simplify right side
    848.97x = 925,348.64
  5. Step 5: Solve for x
    x = 925,348.64/848.97
  6. Step 6: Final answer
    x = 1,089.97

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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.