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Finding the Fourth Proportional to 697.60, 962.22 and 596.44

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Solution

The fourth proportional to 697.60, 962.22 and 596.44 is: 822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.60 : 962.22 = 596.44 : x
  2. Step 2: Convert to fraction form
    697.60/962.22 = 596.44/x
  3. Step 3: Cross multiply
    697.60x = 962.22 × 596.44
  4. Step 4: Simplify right side
    697.60x = 573,906.50
  5. Step 5: Solve for x
    x = 573,906.50/697.60
  6. Step 6: Final answer
    x = 822.69

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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.