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Finding the Fourth Proportional to 1,268.06, 1,749.93 and 708.55

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Solution

The fourth proportional to 1,268.06, 1,749.93 and 708.55 is: 977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.06 : 1,749.93 = 708.55 : x
  2. Step 2: Convert to fraction form
    1,268.06/1,749.93 = 708.55/x
  3. Step 3: Cross multiply
    1,268.06x = 1,749.93 × 708.55
  4. Step 4: Simplify right side
    1,268.06x = 1,239,914.01
  5. Step 5: Solve for x
    x = 1,239,914.01/1,268.06
  6. Step 6: Final answer
    x = 977.81

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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.