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Finding the Fourth Proportional to 1,266.84, 1,898.64 and 682.07

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Solution

The fourth proportional to 1,266.84, 1,898.64 and 682.07 is: 1,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.84 : 1,898.64 = 682.07 : x
  2. Step 2: Convert to fraction form
    1,266.84/1,898.64 = 682.07/x
  3. Step 3: Cross multiply
    1,266.84x = 1,898.64 × 682.07
  4. Step 4: Simplify right side
    1,266.84x = 1,295,006.57
  5. Step 5: Solve for x
    x = 1,295,006.57/1,266.84
  6. Step 6: Final answer
    x = 1,022.23

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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.