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Finding the Fourth Proportional to 1,096.34, 1,511.26 and 741.56

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Solution

The fourth proportional to 1,096.34, 1,511.26 and 741.56 is: 1,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.34 : 1,511.26 = 741.56 : x
  2. Step 2: Convert to fraction form
    1,096.34/1,511.26 = 741.56/x
  3. Step 3: Cross multiply
    1,096.34x = 1,511.26 × 741.56
  4. Step 4: Simplify right side
    1,096.34x = 1,120,680.56
  5. Step 5: Solve for x
    x = 1,120,680.56/1,096.34
  6. Step 6: Final answer
    x = 1,022.21

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1.5x scale

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.