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Finding the Fourth Proportional to 1,268.59, 1,750.70 and 709.06

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Solution

The fourth proportional to 1,268.59, 1,750.70 and 709.06 is: 978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.59 : 1,750.70 = 709.06 : x
  2. Step 2: Convert to fraction form
    1,268.59/1,750.70 = 709.06/x
  3. Step 3: Cross multiply
    1,268.59x = 1,750.70 × 709.06
  4. Step 4: Simplify right side
    1,268.59x = 1,241,351.34
  5. Step 5: Solve for x
    x = 1,241,351.34/1,268.59
  6. Step 6: Final answer
    x = 978.53

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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.