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Finding the Fourth Proportional to 1,099.26, 1,651.58 and 709.46

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Solution

The fourth proportional to 1,099.26, 1,651.58 and 709.46 is: 1,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.26 : 1,651.58 = 709.46 : x
  2. Step 2: Convert to fraction form
    1,099.26/1,651.58 = 709.46/x
  3. Step 3: Cross multiply
    1,099.26x = 1,651.58 × 709.46
  4. Step 4: Simplify right side
    1,099.26x = 1,171,729.95
  5. Step 5: Solve for x
    x = 1,171,729.95/1,099.26
  6. Step 6: Final answer
    x = 1,065.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.