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Finding the Fourth Proportional to 1,330.49, 1,996.41 and 509.29

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Solution

The fourth proportional to 1,330.49, 1,996.41 and 509.29 is: 764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.49 : 1,996.41 = 509.29 : x
  2. Step 2: Convert to fraction form
    1,330.49/1,996.41 = 509.29/x
  3. Step 3: Cross multiply
    1,330.49x = 1,996.41 × 509.29
  4. Step 4: Simplify right side
    1,330.49x = 1,016,751.65
  5. Step 5: Solve for x
    x = 1,016,751.65/1,330.49
  6. Step 6: Final answer
    x = 764.19

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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.