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Finding the Fourth Proportional to 1,063.63, 1,595.44 and 333.22

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Solution

The fourth proportional to 1,063.63, 1,595.44 and 333.22 is: 499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.63 : 1,595.44 = 333.22 : x
  2. Step 2: Convert to fraction form
    1,063.63/1,595.44 = 333.22/x
  3. Step 3: Cross multiply
    1,063.63x = 1,595.44 × 333.22
  4. Step 4: Simplify right side
    1,063.63x = 531,632.52
  5. Step 5: Solve for x
    x = 531,632.52/1,063.63
  6. Step 6: Final answer
    x = 499.83

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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.