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Finding the Fourth Proportional to 853.96, 1,180.40 and 785.92

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Solution

The fourth proportional to 853.96, 1,180.40 and 785.92 is: 1,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.96 : 1,180.40 = 785.92 : x
  2. Step 2: Convert to fraction form
    853.96/1,180.40 = 785.92/x
  3. Step 3: Cross multiply
    853.96x = 1,180.40 × 785.92
  4. Step 4: Simplify right side
    853.96x = 927,699.97
  5. Step 5: Solve for x
    x = 927,699.97/853.96
  6. Step 6: Final answer
    x = 1,086.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.