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Finding the Fourth Proportional to 1,109.44, 1,663.24 and 957.16

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Solution

The fourth proportional to 1,109.44, 1,663.24 and 957.16 is: 1,434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.44 : 1,663.24 = 957.16 : x
  2. Step 2: Convert to fraction form
    1,109.44/1,663.24 = 957.16/x
  3. Step 3: Cross multiply
    1,109.44x = 1,663.24 × 957.16
  4. Step 4: Simplify right side
    1,109.44x = 1,591,986.80
  5. Step 5: Solve for x
    x = 1,591,986.80/1,109.44
  6. Step 6: Final answer
    x = 1,434.95

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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.