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Finding the Fourth Proportional to 1,114.82, 1,541.40 and 976.40

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Solution

The fourth proportional to 1,114.82, 1,541.40 and 976.40 is: 1,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.82 : 1,541.40 = 976.40 : x
  2. Step 2: Convert to fraction form
    1,114.82/1,541.40 = 976.40/x
  3. Step 3: Cross multiply
    1,114.82x = 1,541.40 × 976.40
  4. Step 4: Simplify right side
    1,114.82x = 1,505,022.96
  5. Step 5: Solve for x
    x = 1,505,022.96/1,114.82
  6. Step 6: Final answer
    x = 1,350.01

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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.