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Finding the Fourth Proportional to 852.73, 1,176.22 and 590.69

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Solution

The fourth proportional to 852.73, 1,176.22 and 590.69 is: 814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.73 : 1,176.22 = 590.69 : x
  2. Step 2: Convert to fraction form
    852.73/1,176.22 = 590.69/x
  3. Step 3: Cross multiply
    852.73x = 1,176.22 × 590.69
  4. Step 4: Simplify right side
    852.73x = 694,785.07
  5. Step 5: Solve for x
    x = 694,785.07/852.73
  6. Step 6: Final answer
    x = 814.78

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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.