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Finding the Fourth Proportional to 852.74, 1,176.83 and 521.27

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Solution

The fourth proportional to 852.74, 1,176.83 and 521.27 is: 719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.74 : 1,176.83 = 521.27 : x
  2. Step 2: Convert to fraction form
    852.74/1,176.83 = 521.27/x
  3. Step 3: Cross multiply
    852.74x = 1,176.83 × 521.27
  4. Step 4: Simplify right side
    852.74x = 613,437.68
  5. Step 5: Solve for x
    x = 613,437.68/852.74
  6. Step 6: Final answer
    x = 719.38

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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.