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Finding the Fourth Proportional to 853.17, 1,175.90 and 704.24

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Solution

The fourth proportional to 853.17, 1,175.90 and 704.24 is: 970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.17 : 1,175.90 = 704.24 : x
  2. Step 2: Convert to fraction form
    853.17/1,175.90 = 704.24/x
  3. Step 3: Cross multiply
    853.17x = 1,175.90 × 704.24
  4. Step 4: Simplify right side
    853.17x = 828,115.82
  5. Step 5: Solve for x
    x = 828,115.82/853.17
  6. Step 6: Final answer
    x = 970.63

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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.