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Finding the Fourth Proportional to 1,330.98, 1,996.88 and 682.17

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Solution

The fourth proportional to 1,330.98, 1,996.88 and 682.17 is: 1,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.98 : 1,996.88 = 682.17 : x
  2. Step 2: Convert to fraction form
    1,330.98/1,996.88 = 682.17/x
  3. Step 3: Cross multiply
    1,330.98x = 1,996.88 × 682.17
  4. Step 4: Simplify right side
    1,330.98x = 1,362,208.22
  5. Step 5: Solve for x
    x = 1,362,208.22/1,330.98
  6. Step 6: Final answer
    x = 1,023.46

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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.