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Finding the Fourth Proportional to 849.20, 1,172.00 and 499.88

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Solution

The fourth proportional to 849.20, 1,172.00 and 499.88 is: 689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.20 : 1,172.00 = 499.88 : x
  2. Step 2: Convert to fraction form
    849.20/1,172.00 = 499.88/x
  3. Step 3: Cross multiply
    849.20x = 1,172.00 × 499.88
  4. Step 4: Simplify right side
    849.20x = 585,863.54
  5. Step 5: Solve for x
    x = 585,863.54/849.20
  6. Step 6: Final answer
    x = 689.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.