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Finding the Fourth Proportional to 793.07, 1,188.06 and 518.32

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Solution

The fourth proportional to 793.07, 1,188.06 and 518.32 is: 776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.07 : 1,188.06 = 518.32 : x
  2. Step 2: Convert to fraction form
    793.07/1,188.06 = 518.32/x
  3. Step 3: Cross multiply
    793.07x = 1,188.06 × 518.32
  4. Step 4: Simplify right side
    793.07x = 615,795.26
  5. Step 5: Solve for x
    x = 615,795.26/793.07
  6. Step 6: Final answer
    x = 776.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.