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Finding the Fourth Proportional to 850.84, 1,174.14 and 477.82

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Solution

The fourth proportional to 850.84, 1,174.14 and 477.82 is: 659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.84 : 1,174.14 = 477.82 : x
  2. Step 2: Convert to fraction form
    850.84/1,174.14 = 477.82/x
  3. Step 3: Cross multiply
    850.84x = 1,174.14 × 477.82
  4. Step 4: Simplify right side
    850.84x = 561,027.57
  5. Step 5: Solve for x
    x = 561,027.57/850.84
  6. Step 6: Final answer
    x = 659.38

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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.