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Finding the Fourth Proportional to 1,268.79, 1,750.98 and 709.25

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Solution

The fourth proportional to 1,268.79, 1,750.98 and 709.25 is: 978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.79 : 1,750.98 = 709.25 : x
  2. Step 2: Convert to fraction form
    1,268.79/1,750.98 = 709.25/x
  3. Step 3: Cross multiply
    1,268.79x = 1,750.98 × 709.25
  4. Step 4: Simplify right side
    1,268.79x = 1,241,876.47
  5. Step 5: Solve for x
    x = 1,241,876.47/1,268.79
  6. Step 6: Final answer
    x = 978.79

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