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Finding the Fourth Proportional to 1,223.08, 1,833.93 and 401.28

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Solution

The fourth proportional to 1,223.08, 1,833.93 and 401.28 is: 601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.08 : 1,833.93 = 401.28 : x
  2. Step 2: Convert to fraction form
    1,223.08/1,833.93 = 401.28/x
  3. Step 3: Cross multiply
    1,223.08x = 1,833.93 × 401.28
  4. Step 4: Simplify right side
    1,223.08x = 735,919.43
  5. Step 5: Solve for x
    x = 735,919.43/1,223.08
  6. Step 6: Final answer
    x = 601.69

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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.