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Finding the Fourth Proportional to 1,222.50, 1,832.38 and 606.65

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Solution

The fourth proportional to 1,222.50, 1,832.38 and 606.65 is: 909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.50 : 1,832.38 = 606.65 : x
  2. Step 2: Convert to fraction form
    1,222.50/1,832.38 = 606.65/x
  3. Step 3: Cross multiply
    1,222.50x = 1,832.38 × 606.65
  4. Step 4: Simplify right side
    1,222.50x = 1,111,611.81
  5. Step 5: Solve for x
    x = 1,111,611.81/1,222.50
  6. Step 6: Final answer
    x = 909.29

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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.