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Finding the Fourth Proportional to 835.53, 1,253.31 and 315.69

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Solution

The fourth proportional to 835.53, 1,253.31 and 315.69 is: 473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.53 : 1,253.31 = 315.69 : x
  2. Step 2: Convert to fraction form
    835.53/1,253.31 = 315.69/x
  3. Step 3: Cross multiply
    835.53x = 1,253.31 × 315.69
  4. Step 4: Simplify right side
    835.53x = 395,657.43
  5. Step 5: Solve for x
    x = 395,657.43/835.53
  6. Step 6: Final answer
    x = 473.54

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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.