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Finding the Fourth Proportional to 745.82, 1,028.97 and 634.17

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Solution

The fourth proportional to 745.82, 1,028.97 and 634.17 is: 874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.82 : 1,028.97 = 634.17 : x
  2. Step 2: Convert to fraction form
    745.82/1,028.97 = 634.17/x
  3. Step 3: Cross multiply
    745.82x = 1,028.97 × 634.17
  4. Step 4: Simplify right side
    745.82x = 652,545.76
  5. Step 5: Solve for x
    x = 652,545.76/745.82
  6. Step 6: Final answer
    x = 874.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.