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Finding the Fourth Proportional to 1,114.56, 1,539.36 and 938.16

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Solution

The fourth proportional to 1,114.56, 1,539.36 and 938.16 is: 1,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.56 : 1,539.36 = 938.16 : x
  2. Step 2: Convert to fraction form
    1,114.56/1,539.36 = 938.16/x
  3. Step 3: Cross multiply
    1,114.56x = 1,539.36 × 938.16
  4. Step 4: Simplify right side
    1,114.56x = 1,444,165.98
  5. Step 5: Solve for x
    x = 1,444,165.98/1,114.56
  6. Step 6: Final answer
    x = 1,295.73

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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.