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Finding the Fourth Proportional to 1,116.44, 1,541.92 and 744.98

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Solution

The fourth proportional to 1,116.44, 1,541.92 and 744.98 is: 1,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.44 : 1,541.92 = 744.98 : x
  2. Step 2: Convert to fraction form
    1,116.44/1,541.92 = 744.98/x
  3. Step 3: Cross multiply
    1,116.44x = 1,541.92 × 744.98
  4. Step 4: Simplify right side
    1,116.44x = 1,148,699.56
  5. Step 5: Solve for x
    x = 1,148,699.56/1,116.44
  6. Step 6: Final answer
    x = 1,028.90

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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.