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Finding the Fourth Proportional to 1,266.25, 1,896.90 and 648.13

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Solution

The fourth proportional to 1,266.25, 1,896.90 and 648.13 is: 970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.25 : 1,896.90 = 648.13 : x
  2. Step 2: Convert to fraction form
    1,266.25/1,896.90 = 648.13/x
  3. Step 3: Cross multiply
    1,266.25x = 1,896.90 × 648.13
  4. Step 4: Simplify right side
    1,266.25x = 1,229,437.80
  5. Step 5: Solve for x
    x = 1,229,437.80/1,266.25
  6. Step 6: Final answer
    x = 970.93

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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.