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Finding the Fourth Proportional to 1,122.85, 1,682.89 and 391.57

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Solution

The fourth proportional to 1,122.85, 1,682.89 and 391.57 is: 586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.85 : 1,682.89 = 391.57 : x
  2. Step 2: Convert to fraction form
    1,122.85/1,682.89 = 391.57/x
  3. Step 3: Cross multiply
    1,122.85x = 1,682.89 × 391.57
  4. Step 4: Simplify right side
    1,122.85x = 658,969.24
  5. Step 5: Solve for x
    x = 658,969.24/1,122.85
  6. Step 6: Final answer
    x = 586.87

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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.