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Finding the Fourth Proportional to 1,064.06, 1,596.09 and 333.69

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Solution

The fourth proportional to 1,064.06, 1,596.09 and 333.69 is: 500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.06 : 1,596.09 = 333.69 : x
  2. Step 2: Convert to fraction form
    1,064.06/1,596.09 = 333.69/x
  3. Step 3: Cross multiply
    1,064.06x = 1,596.09 × 333.69
  4. Step 4: Simplify right side
    1,064.06x = 532,604.01
  5. Step 5: Solve for x
    x = 532,604.01/1,064.06
  6. Step 6: Final answer
    x = 500.54

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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.