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Finding the Fourth Proportional to 1,116.91, 1,674.31 and 385.97

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Solution

The fourth proportional to 1,116.91, 1,674.31 and 385.97 is: 578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.91 : 1,674.31 = 385.97 : x
  2. Step 2: Convert to fraction form
    1,116.91/1,674.31 = 385.97/x
  3. Step 3: Cross multiply
    1,116.91x = 1,674.31 × 385.97
  4. Step 4: Simplify right side
    1,116.91x = 646,233.43
  5. Step 5: Solve for x
    x = 646,233.43/1,116.91
  6. Step 6: Final answer
    x = 578.59

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Why These Related Problems?

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