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Finding the Fourth Proportional to 1,268.02, 1,749.87 and 708.49

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Solution

The fourth proportional to 1,268.02, 1,749.87 and 708.49 is: 977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.02 : 1,749.87 = 708.49 : x
  2. Step 2: Convert to fraction form
    1,268.02/1,749.87 = 708.49/x
  3. Step 3: Cross multiply
    1,268.02x = 1,749.87 × 708.49
  4. Step 4: Simplify right side
    1,268.02x = 1,239,759.67
  5. Step 5: Solve for x
    x = 1,239,759.67/1,268.02
  6. Step 6: Final answer
    x = 977.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.