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Finding the Fourth Proportional to 793.34, 1,190.08 and 468.14

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Solution

The fourth proportional to 793.34, 1,190.08 and 468.14 is: 702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.34 : 1,190.08 = 468.14 : x
  2. Step 2: Convert to fraction form
    793.34/1,190.08 = 468.14/x
  3. Step 3: Cross multiply
    793.34x = 1,190.08 × 468.14
  4. Step 4: Simplify right side
    793.34x = 557,124.05
  5. Step 5: Solve for x
    x = 557,124.05/793.34
  6. Step 6: Final answer
    x = 702.25

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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.