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Finding the Fourth Proportional to 1,121.29, 1,682.90 and 601.68

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Solution

The fourth proportional to 1,121.29, 1,682.90 and 601.68 is: 903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.29 : 1,682.90 = 601.68 : x
  2. Step 2: Convert to fraction form
    1,121.29/1,682.90 = 601.68/x
  3. Step 3: Cross multiply
    1,121.29x = 1,682.90 × 601.68
  4. Step 4: Simplify right side
    1,121.29x = 1,012,567.27
  5. Step 5: Solve for x
    x = 1,012,567.27/1,121.29
  6. Step 6: Final answer
    x = 903.04

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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.