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Finding the Fourth Proportional to 835.75, 1,253.66 and 315.70

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Solution

The fourth proportional to 835.75, 1,253.66 and 315.70 is: 473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.75 : 1,253.66 = 315.70 : x
  2. Step 2: Convert to fraction form
    835.75/1,253.66 = 315.70/x
  3. Step 3: Cross multiply
    835.75x = 1,253.66 × 315.70
  4. Step 4: Simplify right side
    835.75x = 395,780.46
  5. Step 5: Solve for x
    x = 395,780.46/835.75
  6. Step 6: Final answer
    x = 473.56

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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.