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Finding the Fourth Proportional to 853.05, 1,179.51 and 813.63

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Solution

The fourth proportional to 853.05, 1,179.51 and 813.63 is: 1,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.05 : 1,179.51 = 813.63 : x
  2. Step 2: Convert to fraction form
    853.05/1,179.51 = 813.63/x
  3. Step 3: Cross multiply
    853.05x = 1,179.51 × 813.63
  4. Step 4: Simplify right side
    853.05x = 959,684.72
  5. Step 5: Solve for x
    x = 959,684.72/853.05
  6. Step 6: Final answer
    x = 1,125.00

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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.