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Finding the Fourth Proportional to 1,114.95, 1,539.41 and 996.57

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Solution

The fourth proportional to 1,114.95, 1,539.41 and 996.57 is: 1,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.95 : 1,539.41 = 996.57 : x
  2. Step 2: Convert to fraction form
    1,114.95/1,539.41 = 996.57/x
  3. Step 3: Cross multiply
    1,114.95x = 1,539.41 × 996.57
  4. Step 4: Simplify right side
    1,114.95x = 1,534,118.35
  5. Step 5: Solve for x
    x = 1,534,118.35/1,114.95
  6. Step 6: Final answer
    x = 1,375.95

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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.