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Finding the Fourth Proportional to 1,114.56, 1,540.08 and 854.82

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Solution

The fourth proportional to 1,114.56, 1,540.08 and 854.82 is: 1,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.56 : 1,540.08 = 854.82 : x
  2. Step 2: Convert to fraction form
    1,114.56/1,540.08 = 854.82/x
  3. Step 3: Cross multiply
    1,114.56x = 1,540.08 × 854.82
  4. Step 4: Simplify right side
    1,114.56x = 1,316,491.19
  5. Step 5: Solve for x
    x = 1,316,491.19/1,114.56
  6. Step 6: Final answer
    x = 1,181.18

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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.