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Finding the Fourth Proportional to 745.73, 1,028.85 and 497.09

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Solution

The fourth proportional to 745.73, 1,028.85 and 497.09 is: 685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.73 : 1,028.85 = 497.09 : x
  2. Step 2: Convert to fraction form
    745.73/1,028.85 = 497.09/x
  3. Step 3: Cross multiply
    745.73x = 1,028.85 × 497.09
  4. Step 4: Simplify right side
    745.73x = 511,425.90
  5. Step 5: Solve for x
    x = 511,425.90/745.73
  6. Step 6: Final answer
    x = 685.81

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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.