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Finding the Fourth Proportional to 1,330.29, 1,996.38 and 782.82

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Solution

The fourth proportional to 1,330.29, 1,996.38 and 782.82 is: 1,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.29 : 1,996.38 = 782.82 : x
  2. Step 2: Convert to fraction form
    1,330.29/1,996.38 = 782.82/x
  3. Step 3: Cross multiply
    1,330.29x = 1,996.38 × 782.82
  4. Step 4: Simplify right side
    1,330.29x = 1,562,806.19
  5. Step 5: Solve for x
    x = 1,562,806.19/1,330.29
  6. Step 6: Final answer
    x = 1,174.79

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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.