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Finding the Fourth Proportional to 854.09, 1,278.41 and 592.75

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Solution

The fourth proportional to 854.09, 1,278.41 and 592.75 is: 887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.09 : 1,278.41 = 592.75 : x
  2. Step 2: Convert to fraction form
    854.09/1,278.41 = 592.75/x
  3. Step 3: Cross multiply
    854.09x = 1,278.41 × 592.75
  4. Step 4: Simplify right side
    854.09x = 757,771.14
  5. Step 5: Solve for x
    x = 757,771.14/854.09
  6. Step 6: Final answer
    x = 887.23

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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.