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Finding the Fourth Proportional to 1,167.51, 1,610.94 and 774.33

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Solution

The fourth proportional to 1,167.51, 1,610.94 and 774.33 is: 1,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.51 : 1,610.94 = 774.33 : x
  2. Step 2: Convert to fraction form
    1,167.51/1,610.94 = 774.33/x
  3. Step 3: Cross multiply
    1,167.51x = 1,610.94 × 774.33
  4. Step 4: Simplify right side
    1,167.51x = 1,247,399.17
  5. Step 5: Solve for x
    x = 1,247,399.17/1,167.51
  6. Step 6: Final answer
    x = 1,068.43

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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.