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Finding the Fourth Proportional to 696.43, 1,039.75 and 612.73

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Solution

The fourth proportional to 696.43, 1,039.75 and 612.73 is: 914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.43 : 1,039.75 = 612.73 : x
  2. Step 2: Convert to fraction form
    696.43/1,039.75 = 612.73/x
  3. Step 3: Cross multiply
    696.43x = 1,039.75 × 612.73
  4. Step 4: Simplify right side
    696.43x = 637,086.02
  5. Step 5: Solve for x
    x = 637,086.02/696.43
  6. Step 6: Final answer
    x = 914.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.