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Finding the Fourth Proportional to 850.84, 1,174.53 and 540.34

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Solution

The fourth proportional to 850.84, 1,174.53 and 540.34 is: 745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.84 : 1,174.53 = 540.34 : x
  2. Step 2: Convert to fraction form
    850.84/1,174.53 = 540.34/x
  3. Step 3: Cross multiply
    850.84x = 1,174.53 × 540.34
  4. Step 4: Simplify right side
    850.84x = 634,645.54
  5. Step 5: Solve for x
    x = 634,645.54/850.84
  6. Step 6: Final answer
    x = 745.90

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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.