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Finding the Fourth Proportional to 1,222.08, 1,833.84 and 400.96

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Solution

The fourth proportional to 1,222.08, 1,833.84 and 400.96 is: 601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.08 : 1,833.84 = 400.96 : x
  2. Step 2: Convert to fraction form
    1,222.08/1,833.84 = 400.96/x
  3. Step 3: Cross multiply
    1,222.08x = 1,833.84 × 400.96
  4. Step 4: Simplify right side
    1,222.08x = 735,296.49
  5. Step 5: Solve for x
    x = 735,296.49/1,222.08
  6. Step 6: Final answer
    x = 601.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.