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Finding the Fourth Proportional to 1,331.14, 1,996.45 and 782.68

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Solution

The fourth proportional to 1,331.14, 1,996.45 and 782.68 is: 1,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.14 : 1,996.45 = 782.68 : x
  2. Step 2: Convert to fraction form
    1,331.14/1,996.45 = 782.68/x
  3. Step 3: Cross multiply
    1,331.14x = 1,996.45 × 782.68
  4. Step 4: Simplify right side
    1,331.14x = 1,562,581.49
  5. Step 5: Solve for x
    x = 1,562,581.49/1,331.14
  6. Step 6: Final answer
    x = 1,173.87

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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.