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Finding the Fourth Proportional to 795.78, 1,193.74 and 247.81

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Solution

The fourth proportional to 795.78, 1,193.74 and 247.81 is: 371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.78 : 1,193.74 = 247.81 : x
  2. Step 2: Convert to fraction form
    795.78/1,193.74 = 247.81/x
  3. Step 3: Cross multiply
    795.78x = 1,193.74 × 247.81
  4. Step 4: Simplify right side
    795.78x = 295,820.71
  5. Step 5: Solve for x
    x = 295,820.71/795.78
  6. Step 6: Final answer
    x = 371.74

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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.