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Finding the Fourth Proportional to 850.41, 1,172.93 and 732.59

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Solution

The fourth proportional to 850.41, 1,172.93 and 732.59 is: 1,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.41 : 1,172.93 = 732.59 : x
  2. Step 2: Convert to fraction form
    850.41/1,172.93 = 732.59/x
  3. Step 3: Cross multiply
    850.41x = 1,172.93 × 732.59
  4. Step 4: Simplify right side
    850.41x = 859,267.26
  5. Step 5: Solve for x
    x = 859,267.26/850.41
  6. Step 6: Final answer
    x = 1,010.42

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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.