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Finding the Fourth Proportional to 1,263.85, 1,896.69 and 648.02

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Solution

The fourth proportional to 1,263.85, 1,896.69 and 648.02 is: 972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.85 : 1,896.69 = 648.02 : x
  2. Step 2: Convert to fraction form
    1,263.85/1,896.69 = 648.02/x
  3. Step 3: Cross multiply
    1,263.85x = 1,896.69 × 648.02
  4. Step 4: Simplify right side
    1,263.85x = 1,229,093.05
  5. Step 5: Solve for x
    x = 1,229,093.05/1,263.85
  6. Step 6: Final answer
    x = 972.50

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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.