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Finding the Fourth Proportional to 1,219.93, 1,826.85 and 601.65

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Solution

The fourth proportional to 1,219.93, 1,826.85 and 601.65 is: 900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.93 : 1,826.85 = 601.65 : x
  2. Step 2: Convert to fraction form
    1,219.93/1,826.85 = 601.65/x
  3. Step 3: Cross multiply
    1,219.93x = 1,826.85 × 601.65
  4. Step 4: Simplify right side
    1,219.93x = 1,099,124.30
  5. Step 5: Solve for x
    x = 1,099,124.30/1,219.93
  6. Step 6: Final answer
    x = 900.97

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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.