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Finding the Fourth Proportional to 1,116.58, 1,673.96 and 653.22

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Solution

The fourth proportional to 1,116.58, 1,673.96 and 653.22 is: 979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.58 : 1,673.96 = 653.22 : x
  2. Step 2: Convert to fraction form
    1,116.58/1,673.96 = 653.22/x
  3. Step 3: Cross multiply
    1,116.58x = 1,673.96 × 653.22
  4. Step 4: Simplify right side
    1,116.58x = 1,093,464.15
  5. Step 5: Solve for x
    x = 1,093,464.15/1,116.58
  6. Step 6: Final answer
    x = 979.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.