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Finding the Fourth Proportional to 696.44, 1,045.94 and 423.16

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Solution

The fourth proportional to 696.44, 1,045.94 and 423.16 is: 635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.44 : 1,045.94 = 423.16 : x
  2. Step 2: Convert to fraction form
    696.44/1,045.94 = 423.16/x
  3. Step 3: Cross multiply
    696.44x = 1,045.94 × 423.16
  4. Step 4: Simplify right side
    696.44x = 442,599.97
  5. Step 5: Solve for x
    x = 442,599.97/696.44
  6. Step 6: Final answer
    x = 635.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.