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Finding the Fourth Proportional to 849.01, 1,171.50 and 499.63

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Solution

The fourth proportional to 849.01, 1,171.50 and 499.63 is: 689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.01 : 1,171.50 = 499.63 : x
  2. Step 2: Convert to fraction form
    849.01/1,171.50 = 499.63/x
  3. Step 3: Cross multiply
    849.01x = 1,171.50 × 499.63
  4. Step 4: Simplify right side
    849.01x = 585,310.69
  5. Step 5: Solve for x
    x = 585,310.69/849.01
  6. Step 6: Final answer
    x = 689.41

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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.