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Finding the Fourth Proportional to 835.44, 1,254.59 and 696.48

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Solution

The fourth proportional to 835.44, 1,254.59 and 696.48 is: 1,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.44 : 1,254.59 = 696.48 : x
  2. Step 2: Convert to fraction form
    835.44/1,254.59 = 696.48/x
  3. Step 3: Cross multiply
    835.44x = 1,254.59 × 696.48
  4. Step 4: Simplify right side
    835.44x = 873,796.84
  5. Step 5: Solve for x
    x = 873,796.84/835.44
  6. Step 6: Final answer
    x = 1,045.91

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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.