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Finding the Fourth Proportional to 835.94, 1,153.48 and 499.84

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Solution

The fourth proportional to 835.94, 1,153.48 and 499.84 is: 689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.94 : 1,153.48 = 499.84 : x
  2. Step 2: Convert to fraction form
    835.94/1,153.48 = 499.84/x
  3. Step 3: Cross multiply
    835.94x = 1,153.48 × 499.84
  4. Step 4: Simplify right side
    835.94x = 576,555.44
  5. Step 5: Solve for x
    x = 576,555.44/835.94
  6. Step 6: Final answer
    x = 689.71

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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.