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Finding the Fourth Proportional to 1,096.21, 1,511.90 and 703.27

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Solution

The fourth proportional to 1,096.21, 1,511.90 and 703.27 is: 969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.21 : 1,511.90 = 703.27 : x
  2. Step 2: Convert to fraction form
    1,096.21/1,511.90 = 703.27/x
  3. Step 3: Cross multiply
    1,096.21x = 1,511.90 × 703.27
  4. Step 4: Simplify right side
    1,096.21x = 1,063,266.35
  5. Step 5: Solve for x
    x = 1,063,266.35/1,096.21
  6. Step 6: Final answer
    x = 969.95

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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.