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Finding the Fourth Proportional to 696.36, 961.02 and 579.72

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Solution

The fourth proportional to 696.36, 961.02 and 579.72 is: 800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.36 : 961.02 = 579.72 : x
  2. Step 2: Convert to fraction form
    696.36/961.02 = 579.72/x
  3. Step 3: Cross multiply
    696.36x = 961.02 × 579.72
  4. Step 4: Simplify right side
    696.36x = 557,122.51
  5. Step 5: Solve for x
    x = 557,122.51/696.36
  6. Step 6: Final answer
    x = 800.05

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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.