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Finding the Fourth Proportional to 854.78, 1,283.80 and 490.28

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Solution

The fourth proportional to 854.78, 1,283.80 and 490.28 is: 736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.78 : 1,283.80 = 490.28 : x
  2. Step 2: Convert to fraction form
    854.78/1,283.80 = 490.28/x
  3. Step 3: Cross multiply
    854.78x = 1,283.80 × 490.28
  4. Step 4: Simplify right side
    854.78x = 629,421.46
  5. Step 5: Solve for x
    x = 629,421.46/854.78
  6. Step 6: Final answer
    x = 736.35

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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.