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Finding the Fourth Proportional to 1,217.11, 1,825.85 and 486.67

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Solution

The fourth proportional to 1,217.11, 1,825.85 and 486.67 is: 730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.11 : 1,825.85 = 486.67 : x
  2. Step 2: Convert to fraction form
    1,217.11/1,825.85 = 486.67/x
  3. Step 3: Cross multiply
    1,217.11x = 1,825.85 × 486.67
  4. Step 4: Simplify right side
    1,217.11x = 888,590.38
  5. Step 5: Solve for x
    x = 888,590.38/1,217.11
  6. Step 6: Final answer
    x = 730.08

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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.