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Finding the Fourth Proportional to 853.84, 1,177.94 and 688.30

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Solution

The fourth proportional to 853.84, 1,177.94 and 688.30 is: 949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.84 : 1,177.94 = 688.30 : x
  2. Step 2: Convert to fraction form
    853.84/1,177.94 = 688.30/x
  3. Step 3: Cross multiply
    853.84x = 1,177.94 × 688.30
  4. Step 4: Simplify right side
    853.84x = 810,774.88
  5. Step 5: Solve for x
    x = 810,774.88/853.84
  6. Step 6: Final answer
    x = 949.56

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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.