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Finding the Fourth Proportional to 699.60, 966.24 and 523.20

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Solution

The fourth proportional to 699.60, 966.24 and 523.20 is: 722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.60 : 966.24 = 523.20 : x
  2. Step 2: Convert to fraction form
    699.60/966.24 = 523.20/x
  3. Step 3: Cross multiply
    699.60x = 966.24 × 523.20
  4. Step 4: Simplify right side
    699.60x = 505,536.77
  5. Step 5: Solve for x
    x = 505,536.77/699.60
  6. Step 6: Final answer
    x = 722.61

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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.