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Finding the Fourth Proportional to 1,352.03, 2,027.15 and 486.23

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Solution

The fourth proportional to 1,352.03, 2,027.15 and 486.23 is: 729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.03 : 2,027.15 = 486.23 : x
  2. Step 2: Convert to fraction form
    1,352.03/2,027.15 = 486.23/x
  3. Step 3: Cross multiply
    1,352.03x = 2,027.15 × 486.23
  4. Step 4: Simplify right side
    1,352.03x = 985,658.71
  5. Step 5: Solve for x
    x = 985,658.71/1,352.03
  6. Step 6: Final answer
    x = 729.02

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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.