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Finding the Fourth Proportional to 1,116.44, 1,541.18 and 867.16

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Solution

The fourth proportional to 1,116.44, 1,541.18 and 867.16 is: 1,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.44 : 1,541.18 = 867.16 : x
  2. Step 2: Convert to fraction form
    1,116.44/1,541.18 = 867.16/x
  3. Step 3: Cross multiply
    1,116.44x = 1,541.18 × 867.16
  4. Step 4: Simplify right side
    1,116.44x = 1,336,449.65
  5. Step 5: Solve for x
    x = 1,336,449.65/1,116.44
  6. Step 6: Final answer
    x = 1,197.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.