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Finding the Fourth Proportional to 851.67, 1,174.57 and 557.03

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Solution

The fourth proportional to 851.67, 1,174.57 and 557.03 is: 768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.67 : 1,174.57 = 557.03 : x
  2. Step 2: Convert to fraction form
    851.67/1,174.57 = 557.03/x
  3. Step 3: Cross multiply
    851.67x = 1,174.57 × 557.03
  4. Step 4: Simplify right side
    851.67x = 654,272.27
  5. Step 5: Solve for x
    x = 654,272.27/851.67
  6. Step 6: Final answer
    x = 768.22

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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.