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Finding the Fourth Proportional to 849.34, 1,172.46 and 538.84

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Solution

The fourth proportional to 849.34, 1,172.46 and 538.84 is: 743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.34 : 1,172.46 = 538.84 : x
  2. Step 2: Convert to fraction form
    849.34/1,172.46 = 538.84/x
  3. Step 3: Cross multiply
    849.34x = 1,172.46 × 538.84
  4. Step 4: Simplify right side
    849.34x = 631,768.35
  5. Step 5: Solve for x
    x = 631,768.35/849.34
  6. Step 6: Final answer
    x = 743.83

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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.