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Finding the Fourth Proportional to 745.79, 1,120.07 and 684.83

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Solution

The fourth proportional to 745.79, 1,120.07 and 684.83 is: 1,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.79 : 1,120.07 = 684.83 : x
  2. Step 2: Convert to fraction form
    745.79/1,120.07 = 684.83/x
  3. Step 3: Cross multiply
    745.79x = 1,120.07 × 684.83
  4. Step 4: Simplify right side
    745.79x = 767,062.05
  5. Step 5: Solve for x
    x = 767,062.05/745.79
  6. Step 6: Final answer
    x = 1,028.53

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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.