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Finding the Fourth Proportional to 1,166.58, 1,610.73 and 774.45

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Solution

The fourth proportional to 1,166.58, 1,610.73 and 774.45 is: 1,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.58 : 1,610.73 = 774.45 : x
  2. Step 2: Convert to fraction form
    1,166.58/1,610.73 = 774.45/x
  3. Step 3: Cross multiply
    1,166.58x = 1,610.73 × 774.45
  4. Step 4: Simplify right side
    1,166.58x = 1,247,429.85
  5. Step 5: Solve for x
    x = 1,247,429.85/1,166.58
  6. Step 6: Final answer
    x = 1,069.31

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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.