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Finding the Fourth Proportional to 1,265.40, 1,896.98 and 680.72

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Solution

The fourth proportional to 1,265.40, 1,896.98 and 680.72 is: 1,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.40 : 1,896.98 = 680.72 : x
  2. Step 2: Convert to fraction form
    1,265.40/1,896.98 = 680.72/x
  3. Step 3: Cross multiply
    1,265.40x = 1,896.98 × 680.72
  4. Step 4: Simplify right side
    1,265.40x = 1,291,299.34
  5. Step 5: Solve for x
    x = 1,291,299.34/1,265.40
  6. Step 6: Final answer
    x = 1,020.47

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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.