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Finding the Fourth Proportional to 696.65, 960.46 and 598.19

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Solution

The fourth proportional to 696.65, 960.46 and 598.19 is: 824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.65 : 960.46 = 598.19 : x
  2. Step 2: Convert to fraction form
    696.65/960.46 = 598.19/x
  3. Step 3: Cross multiply
    696.65x = 960.46 × 598.19
  4. Step 4: Simplify right side
    696.65x = 574,531.27
  5. Step 5: Solve for x
    x = 574,531.27/696.65
  6. Step 6: Final answer
    x = 824.71

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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.