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Finding the Fourth Proportional to 721.60, 996.24 and 669.67

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Solution

The fourth proportional to 721.60, 996.24 and 669.67 is: 924.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.60 : 996.24 = 669.67 : x
  2. Step 2: Convert to fraction form
    721.60/996.24 = 669.67/x
  3. Step 3: Cross multiply
    721.60x = 996.24 × 669.67
  4. Step 4: Simplify right side
    721.60x = 667,152.04
  5. Step 5: Solve for x
    x = 667,152.04/721.60
  6. Step 6: Final answer
    x = 924.55

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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.