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Finding the Fourth Proportional to 853.53, 1,176.78 and 554.25

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Solution

The fourth proportional to 853.53, 1,176.78 and 554.25 is: 764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.53 : 1,176.78 = 554.25 : x
  2. Step 2: Convert to fraction form
    853.53/1,176.78 = 554.25/x
  3. Step 3: Cross multiply
    853.53x = 1,176.78 × 554.25
  4. Step 4: Simplify right side
    853.53x = 652,230.32
  5. Step 5: Solve for x
    x = 652,230.32/853.53
  6. Step 6: Final answer
    x = 764.16

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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.