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Finding the Fourth Proportional to 620.86, 854.64 and 536.80

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Solution

The fourth proportional to 620.86, 854.64 and 536.80 is: 738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.86 : 854.64 = 536.80 : x
  2. Step 2: Convert to fraction form
    620.86/854.64 = 536.80/x
  3. Step 3: Cross multiply
    620.86x = 854.64 × 536.80
  4. Step 4: Simplify right side
    620.86x = 458,766.48
  5. Step 5: Solve for x
    x = 458,766.48/620.86
  6. Step 6: Final answer
    x = 738.92

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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.