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Finding the Fourth Proportional to 835.86, 1,253.25 and 698.16

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Solution

The fourth proportional to 835.86, 1,253.25 and 698.16 is: 1,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.86 : 1,253.25 = 698.16 : x
  2. Step 2: Convert to fraction form
    835.86/1,253.25 = 698.16/x
  3. Step 3: Cross multiply
    835.86x = 1,253.25 × 698.16
  4. Step 4: Simplify right side
    835.86x = 874,969.02
  5. Step 5: Solve for x
    x = 874,969.02/835.86
  6. Step 6: Final answer
    x = 1,046.79

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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.