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Finding the Fourth Proportional to 677.25, 932.07 and 536.92

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Solution

The fourth proportional to 677.25, 932.07 and 536.92 is: 738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.25 : 932.07 = 536.92 : x
  2. Step 2: Convert to fraction form
    677.25/932.07 = 536.92/x
  3. Step 3: Cross multiply
    677.25x = 932.07 × 536.92
  4. Step 4: Simplify right side
    677.25x = 500,447.02
  5. Step 5: Solve for x
    x = 500,447.02/677.25
  6. Step 6: Final answer
    x = 738.94

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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.