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Finding the Fourth Proportional to 835.85, 1,256.05 and 446.12

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Solution

The fourth proportional to 835.85, 1,256.05 and 446.12 is: 670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.85 : 1,256.05 = 446.12 : x
  2. Step 2: Convert to fraction form
    835.85/1,256.05 = 446.12/x
  3. Step 3: Cross multiply
    835.85x = 1,256.05 × 446.12
  4. Step 4: Simplify right side
    835.85x = 560,351.05
  5. Step 5: Solve for x
    x = 560,351.05/835.85
  6. Step 6: Final answer
    x = 670.39

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1.5x scale

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.