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Finding the Fourth Proportional to 1,266.17, 1,747.08 and 762.03

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Solution

The fourth proportional to 1,266.17, 1,747.08 and 762.03 is: 1,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.17 : 1,747.08 = 762.03 : x
  2. Step 2: Convert to fraction form
    1,266.17/1,747.08 = 762.03/x
  3. Step 3: Cross multiply
    1,266.17x = 1,747.08 × 762.03
  4. Step 4: Simplify right side
    1,266.17x = 1,331,327.37
  5. Step 5: Solve for x
    x = 1,331,327.37/1,266.17
  6. Step 6: Final answer
    x = 1,051.46

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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.