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Finding the Fourth Proportional to 667.37, 920.86 and 613.61

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Solution

The fourth proportional to 667.37, 920.86 and 613.61 is: 846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.37 : 920.86 = 613.61 : x
  2. Step 2: Convert to fraction form
    667.37/920.86 = 613.61/x
  3. Step 3: Cross multiply
    667.37x = 920.86 × 613.61
  4. Step 4: Simplify right side
    667.37x = 565,044.30
  5. Step 5: Solve for x
    x = 565,044.30/667.37
  6. Step 6: Final answer
    x = 846.67

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1.5x scale

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.