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Finding the Fourth Proportional to 1,222.86, 1,833.98 and 401.10

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Solution

The fourth proportional to 1,222.86, 1,833.98 and 401.10 is: 601.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.86 : 1,833.98 = 401.10 : x
  2. Step 2: Convert to fraction form
    1,222.86/1,833.98 = 401.10/x
  3. Step 3: Cross multiply
    1,222.86x = 1,833.98 × 401.10
  4. Step 4: Simplify right side
    1,222.86x = 735,609.38
  5. Step 5: Solve for x
    x = 735,609.38/1,222.86
  6. Step 6: Final answer
    x = 601.55

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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.