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Finding the Fourth Proportional to 850.83, 1,174.14 and 477.81

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Solution

The fourth proportional to 850.83, 1,174.14 and 477.81 is: 659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.83 : 1,174.14 = 477.81 : x
  2. Step 2: Convert to fraction form
    850.83/1,174.14 = 477.81/x
  3. Step 3: Cross multiply
    850.83x = 1,174.14 × 477.81
  4. Step 4: Simplify right side
    850.83x = 561,015.83
  5. Step 5: Solve for x
    x = 561,015.83/850.83
  6. Step 6: Final answer
    x = 659.37

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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.