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Finding the Fourth Proportional to 696.51, 960.93 and 522.09

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Solution

The fourth proportional to 696.51, 960.93 and 522.09 is: 720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.51 : 960.93 = 522.09 : x
  2. Step 2: Convert to fraction form
    696.51/960.93 = 522.09/x
  3. Step 3: Cross multiply
    696.51x = 960.93 × 522.09
  4. Step 4: Simplify right side
    696.51x = 501,691.94
  5. Step 5: Solve for x
    x = 501,691.94/696.51
  6. Step 6: Final answer
    x = 720.29

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Why These Related Problems?

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