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Finding the Fourth Proportional to 853.89, 1,178.78 and 555.27

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Solution

The fourth proportional to 853.89, 1,178.78 and 555.27 is: 766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.89 : 1,178.78 = 555.27 : x
  2. Step 2: Convert to fraction form
    853.89/1,178.78 = 555.27/x
  3. Step 3: Cross multiply
    853.89x = 1,178.78 × 555.27
  4. Step 4: Simplify right side
    853.89x = 654,541.17
  5. Step 5: Solve for x
    x = 654,541.17/853.89
  6. Step 6: Final answer
    x = 766.54

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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.