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Finding the Fourth Proportional to 745.22, 1,032.84 and 731.39

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Solution

The fourth proportional to 745.22, 1,032.84 and 731.39 is: 1,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.22 : 1,032.84 = 731.39 : x
  2. Step 2: Convert to fraction form
    745.22/1,032.84 = 731.39/x
  3. Step 3: Cross multiply
    745.22x = 1,032.84 × 731.39
  4. Step 4: Simplify right side
    745.22x = 755,403.68
  5. Step 5: Solve for x
    x = 755,403.68/745.22
  6. Step 6: Final answer
    x = 1,013.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.