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Finding the Fourth Proportional to 835.79, 1,153.22 and 486.27

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Solution

The fourth proportional to 835.79, 1,153.22 and 486.27 is: 670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.79 : 1,153.22 = 486.27 : x
  2. Step 2: Convert to fraction form
    835.79/1,153.22 = 486.27/x
  3. Step 3: Cross multiply
    835.79x = 1,153.22 × 486.27
  4. Step 4: Simplify right side
    835.79x = 560,773.86
  5. Step 5: Solve for x
    x = 560,773.86/835.79
  6. Step 6: Final answer
    x = 670.95

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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.