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Finding the Fourth Proportional to 1,268.56, 1,750.66 and 709.13

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Solution

The fourth proportional to 1,268.56, 1,750.66 and 709.13 is: 978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.56 : 1,750.66 = 709.13 : x
  2. Step 2: Convert to fraction form
    1,268.56/1,750.66 = 709.13/x
  3. Step 3: Cross multiply
    1,268.56x = 1,750.66 × 709.13
  4. Step 4: Simplify right side
    1,268.56x = 1,241,437.60
  5. Step 5: Solve for x
    x = 1,241,437.60/1,268.56
  6. Step 6: Final answer
    x = 978.62

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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.