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Finding the Fourth Proportional to 793.29, 1,094.94 and 478.74

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Solution

The fourth proportional to 793.29, 1,094.94 and 478.74 is: 660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.29 : 1,094.94 = 478.74 : x
  2. Step 2: Convert to fraction form
    793.29/1,094.94 = 478.74/x
  3. Step 3: Cross multiply
    793.29x = 1,094.94 × 478.74
  4. Step 4: Simplify right side
    793.29x = 524,191.58
  5. Step 5: Solve for x
    x = 524,191.58/793.29
  6. Step 6: Final answer
    x = 660.78

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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.