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Finding the Fourth Proportional to 1,063.67, 1,595.58 and 333.23

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Solution

The fourth proportional to 1,063.67, 1,595.58 and 333.23 is: 499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.67 : 1,595.58 = 333.23 : x
  2. Step 2: Convert to fraction form
    1,063.67/1,595.58 = 333.23/x
  3. Step 3: Cross multiply
    1,063.67x = 1,595.58 × 333.23
  4. Step 4: Simplify right side
    1,063.67x = 531,695.12
  5. Step 5: Solve for x
    x = 531,695.12/1,063.67
  6. Step 6: Final answer
    x = 499.87

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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.