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Finding the Fourth Proportional to 1,175.73, 1,764.27 and 526.38

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Solution

The fourth proportional to 1,175.73, 1,764.27 and 526.38 is: 789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.73 : 1,764.27 = 526.38 : x
  2. Step 2: Convert to fraction form
    1,175.73/1,764.27 = 526.38/x
  3. Step 3: Cross multiply
    1,175.73x = 1,764.27 × 526.38
  4. Step 4: Simplify right side
    1,175.73x = 928,676.44
  5. Step 5: Solve for x
    x = 928,676.44/1,175.73
  6. Step 6: Final answer
    x = 789.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.