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Finding the Fourth Proportional to 850.83, 1,174.20 and 477.83

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Solution

The fourth proportional to 850.83, 1,174.20 and 477.83 is: 659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.83 : 1,174.20 = 477.83 : x
  2. Step 2: Convert to fraction form
    850.83/1,174.20 = 477.83/x
  3. Step 3: Cross multiply
    850.83x = 1,174.20 × 477.83
  4. Step 4: Simplify right side
    850.83x = 561,069.13
  5. Step 5: Solve for x
    x = 561,069.13/850.83
  6. Step 6: Final answer
    x = 659.44

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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.