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Finding the Fourth Proportional to 793.53, 1,190.62 and 360.89

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Solution

The fourth proportional to 793.53, 1,190.62 and 360.89 is: 541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.53 : 1,190.62 = 360.89 : x
  2. Step 2: Convert to fraction form
    793.53/1,190.62 = 360.89/x
  3. Step 3: Cross multiply
    793.53x = 1,190.62 × 360.89
  4. Step 4: Simplify right side
    793.53x = 429,681.05
  5. Step 5: Solve for x
    x = 429,681.05/793.53
  6. Step 6: Final answer
    x = 541.48

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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.