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Finding the Fourth Proportional to 696.14, 960.74 and 444.07

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Solution

The fourth proportional to 696.14, 960.74 and 444.07 is: 612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.14 : 960.74 = 444.07 : x
  2. Step 2: Convert to fraction form
    696.14/960.74 = 444.07/x
  3. Step 3: Cross multiply
    696.14x = 960.74 × 444.07
  4. Step 4: Simplify right side
    696.14x = 426,635.81
  5. Step 5: Solve for x
    x = 426,635.81/696.14
  6. Step 6: Final answer
    x = 612.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.