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Finding the Fourth Proportional to 601.92, 825.57 and 556.56

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Solution

The fourth proportional to 601.92, 825.57 and 556.56 is: 763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.92 : 825.57 = 556.56 : x
  2. Step 2: Convert to fraction form
    601.92/825.57 = 556.56/x
  3. Step 3: Cross multiply
    601.92x = 825.57 × 556.56
  4. Step 4: Simplify right side
    601.92x = 459,479.24
  5. Step 5: Solve for x
    x = 459,479.24/601.92
  6. Step 6: Final answer
    x = 763.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.