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Finding the Fourth Proportional to 696.57, 960.44 and 571.83

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Solution

The fourth proportional to 696.57, 960.44 and 571.83 is: 788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.57 : 960.44 = 571.83 : x
  2. Step 2: Convert to fraction form
    696.57/960.44 = 571.83/x
  3. Step 3: Cross multiply
    696.57x = 960.44 × 571.83
  4. Step 4: Simplify right side
    696.57x = 549,201.94
  5. Step 5: Solve for x
    x = 549,201.94/696.57
  6. Step 6: Final answer
    x = 788.44

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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.