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Finding the Fourth Proportional to 1,297.54, 1,789.21 and 854.67

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Solution

The fourth proportional to 1,297.54, 1,789.21 and 854.67 is: 1,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.54 : 1,789.21 = 854.67 : x
  2. Step 2: Convert to fraction form
    1,297.54/1,789.21 = 854.67/x
  3. Step 3: Cross multiply
    1,297.54x = 1,789.21 × 854.67
  4. Step 4: Simplify right side
    1,297.54x = 1,529,177.02
  5. Step 5: Solve for x
    x = 1,529,177.02/1,297.54
  6. Step 6: Final answer
    x = 1,178.52

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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.