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Finding the Fourth Proportional to 793.64, 1,181.86 and 746.45

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Solution

The fourth proportional to 793.64, 1,181.86 and 746.45 is: 1,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.64 : 1,181.86 = 746.45 : x
  2. Step 2: Convert to fraction form
    793.64/1,181.86 = 746.45/x
  3. Step 3: Cross multiply
    793.64x = 1,181.86 × 746.45
  4. Step 4: Simplify right side
    793.64x = 882,199.40
  5. Step 5: Solve for x
    x = 882,199.40/793.64
  6. Step 6: Final answer
    x = 1,111.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.