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Finding the Fourth Proportional to 854.93, 1,282.75 and 484.78

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Solution

The fourth proportional to 854.93, 1,282.75 and 484.78 is: 727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.93 : 1,282.75 = 484.78 : x
  2. Step 2: Convert to fraction form
    854.93/1,282.75 = 484.78/x
  3. Step 3: Cross multiply
    854.93x = 1,282.75 × 484.78
  4. Step 4: Simplify right side
    854.93x = 621,851.55
  5. Step 5: Solve for x
    x = 621,851.55/854.93
  6. Step 6: Final answer
    x = 727.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.