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Finding the Fourth Proportional to 1,171.48, 1,616.78 and 674.28

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Solution

The fourth proportional to 1,171.48, 1,616.78 and 674.28 is: 930.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.48 : 1,616.78 = 674.28 : x
  2. Step 2: Convert to fraction form
    1,171.48/1,616.78 = 674.28/x
  3. Step 3: Cross multiply
    1,171.48x = 1,616.78 × 674.28
  4. Step 4: Simplify right side
    1,171.48x = 1,090,162.42
  5. Step 5: Solve for x
    x = 1,090,162.42/1,171.48
  6. Step 6: Final answer
    x = 930.59

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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.