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Finding the Fourth Proportional to 677.11, 933.73 and 552.37

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Solution

The fourth proportional to 677.11, 933.73 and 552.37 is: 761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.11 : 933.73 = 552.37 : x
  2. Step 2: Convert to fraction form
    677.11/933.73 = 552.37/x
  3. Step 3: Cross multiply
    677.11x = 933.73 × 552.37
  4. Step 4: Simplify right side
    677.11x = 515,762.48
  5. Step 5: Solve for x
    x = 515,762.48/677.11
  6. Step 6: Final answer
    x = 761.71

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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.