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Finding the Fourth Proportional to 745.67, 1,120.20 and 526.79

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Solution

The fourth proportional to 745.67, 1,120.20 and 526.79 is: 791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.67 : 1,120.20 = 526.79 : x
  2. Step 2: Convert to fraction form
    745.67/1,120.20 = 526.79/x
  3. Step 3: Cross multiply
    745.67x = 1,120.20 × 526.79
  4. Step 4: Simplify right side
    745.67x = 590,104.56
  5. Step 5: Solve for x
    x = 590,104.56/745.67
  6. Step 6: Final answer
    x = 791.38

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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.