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Finding the Fourth Proportional to 850.34, 1,173.42 and 501

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Solution

The fourth proportional to 850.34, 1,173.42 and 501 is: 691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.34 : 1,173.42 = 501 : x
  2. Step 2: Convert to fraction form
    850.34/1,173.42 = 501/x
  3. Step 3: Cross multiply
    850.34x = 1,173.42 × 501
  4. Step 4: Simplify right side
    850.34x = 587,883.42
  5. Step 5: Solve for x
    x = 587,883.42/850.34
  6. Step 6: Final answer
    x = 691.36

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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.