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Finding the Fourth Proportional to 1,166.16, 1,609.97 and 773.72

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Solution

The fourth proportional to 1,166.16, 1,609.97 and 773.72 is: 1,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.16 : 1,609.97 = 773.72 : x
  2. Step 2: Convert to fraction form
    1,166.16/1,609.97 = 773.72/x
  3. Step 3: Cross multiply
    1,166.16x = 1,609.97 × 773.72
  4. Step 4: Simplify right side
    1,166.16x = 1,245,665.99
  5. Step 5: Solve for x
    x = 1,245,665.99/1,166.16
  6. Step 6: Final answer
    x = 1,068.18

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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.