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Finding the Fourth Proportional to 696.82, 1,045.24 and 264.02

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Solution

The fourth proportional to 696.82, 1,045.24 and 264.02 is: 396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.82 : 1,045.24 = 264.02 : x
  2. Step 2: Convert to fraction form
    696.82/1,045.24 = 264.02/x
  3. Step 3: Cross multiply
    696.82x = 1,045.24 × 264.02
  4. Step 4: Simplify right side
    696.82x = 275,964.26
  5. Step 5: Solve for x
    x = 275,964.26/696.82
  6. Step 6: Final answer
    x = 396.03

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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.