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Finding the Fourth Proportional to 793.15, 1,190.10 and 533.28

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Solution

The fourth proportional to 793.15, 1,190.10 and 533.28 is: 800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.15 : 1,190.10 = 533.28 : x
  2. Step 2: Convert to fraction form
    793.15/1,190.10 = 533.28/x
  3. Step 3: Cross multiply
    793.15x = 1,190.10 × 533.28
  4. Step 4: Simplify right side
    793.15x = 634,650.58
  5. Step 5: Solve for x
    x = 634,650.58/793.15
  6. Step 6: Final answer
    x = 800.16

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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.