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Finding the Fourth Proportional to 850.89, 1,174.22 and 497.06

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Solution

The fourth proportional to 850.89, 1,174.22 and 497.06 is: 685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.89 : 1,174.22 = 497.06 : x
  2. Step 2: Convert to fraction form
    850.89/1,174.22 = 497.06/x
  3. Step 3: Cross multiply
    850.89x = 1,174.22 × 497.06
  4. Step 4: Simplify right side
    850.89x = 583,651.92
  5. Step 5: Solve for x
    x = 583,651.92/850.89
  6. Step 6: Final answer
    x = 685.93

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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.