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Finding the Fourth Proportional to 853.47, 1,177.34 and 554.58

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Solution

The fourth proportional to 853.47, 1,177.34 and 554.58 is: 765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.47 : 1,177.34 = 554.58 : x
  2. Step 2: Convert to fraction form
    853.47/1,177.34 = 554.58/x
  3. Step 3: Cross multiply
    853.47x = 1,177.34 × 554.58
  4. Step 4: Simplify right side
    853.47x = 652,926.44
  5. Step 5: Solve for x
    x = 652,926.44/853.47
  6. Step 6: Final answer
    x = 765.03

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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.