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Finding the Fourth Proportional to 851.62, 1,175.09 and 502.42

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Solution

The fourth proportional to 851.62, 1,175.09 and 502.42 is: 693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.62 : 1,175.09 = 502.42 : x
  2. Step 2: Convert to fraction form
    851.62/1,175.09 = 502.42/x
  3. Step 3: Cross multiply
    851.62x = 1,175.09 × 502.42
  4. Step 4: Simplify right side
    851.62x = 590,388.72
  5. Step 5: Solve for x
    x = 590,388.72/851.62
  6. Step 6: Final answer
    x = 693.25

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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.