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Finding the Fourth Proportional to 1,352.04, 2,027.64 and 427.82

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Solution

The fourth proportional to 1,352.04, 2,027.64 and 427.82 is: 641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.04 : 2,027.64 = 427.82 : x
  2. Step 2: Convert to fraction form
    1,352.04/2,027.64 = 427.82/x
  3. Step 3: Cross multiply
    1,352.04x = 2,027.64 × 427.82
  4. Step 4: Simplify right side
    1,352.04x = 867,464.94
  5. Step 5: Solve for x
    x = 867,464.94/1,352.04
  6. Step 6: Final answer
    x = 641.60

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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.