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Finding the Fourth Proportional to 1,266.80, 1,748.26 and 707.26

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Solution

The fourth proportional to 1,266.80, 1,748.26 and 707.26 is: 976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.80 : 1,748.26 = 707.26 : x
  2. Step 2: Convert to fraction form
    1,266.80/1,748.26 = 707.26/x
  3. Step 3: Cross multiply
    1,266.80x = 1,748.26 × 707.26
  4. Step 4: Simplify right side
    1,266.80x = 1,236,474.37
  5. Step 5: Solve for x
    x = 1,236,474.37/1,266.80
  6. Step 6: Final answer
    x = 976.06

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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.