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Finding the Fourth Proportional to 851.97, 1,175.81 and 557.13

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Solution

The fourth proportional to 851.97, 1,175.81 and 557.13 is: 768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.97 : 1,175.81 = 557.13 : x
  2. Step 2: Convert to fraction form
    851.97/1,175.81 = 557.13/x
  3. Step 3: Cross multiply
    851.97x = 1,175.81 × 557.13
  4. Step 4: Simplify right side
    851.97x = 655,079.03
  5. Step 5: Solve for x
    x = 655,079.03/851.97
  6. Step 6: Final answer
    x = 768.90

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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.