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Finding the Fourth Proportional to 1,268.94, 1,751.09 and 709.41

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Solution

The fourth proportional to 1,268.94, 1,751.09 and 709.41 is: 978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.94 : 1,751.09 = 709.41 : x
  2. Step 2: Convert to fraction form
    1,268.94/1,751.09 = 709.41/x
  3. Step 3: Cross multiply
    1,268.94x = 1,751.09 × 709.41
  4. Step 4: Simplify right side
    1,268.94x = 1,242,240.76
  5. Step 5: Solve for x
    x = 1,242,240.76/1,268.94
  6. Step 6: Final answer
    x = 978.96

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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.