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Finding the Fourth Proportional to 955.80, 1,431.72 and 853.56

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Solution

The fourth proportional to 955.80, 1,431.72 and 853.56 is: 1,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.80 : 1,431.72 = 853.56 : x
  2. Step 2: Convert to fraction form
    955.80/1,431.72 = 853.56/x
  3. Step 3: Cross multiply
    955.80x = 1,431.72 × 853.56
  4. Step 4: Simplify right side
    955.80x = 1,222,058.92
  5. Step 5: Solve for x
    x = 1,222,058.92/955.80
  6. Step 6: Final answer
    x = 1,278.57

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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.