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Finding the Fourth Proportional to 734.13, 1,101.18 and 441.72

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Solution

The fourth proportional to 734.13, 1,101.18 and 441.72 is: 662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.13 : 1,101.18 = 441.72 : x
  2. Step 2: Convert to fraction form
    734.13/1,101.18 = 441.72/x
  3. Step 3: Cross multiply
    734.13x = 1,101.18 × 441.72
  4. Step 4: Simplify right side
    734.13x = 486,413.23
  5. Step 5: Solve for x
    x = 486,413.23/734.13
  6. Step 6: Final answer
    x = 662.57

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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.