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Finding the Fourth Proportional to 849.88, 1,172.56 and 518.22

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Solution

The fourth proportional to 849.88, 1,172.56 and 518.22 is: 714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.88 : 1,172.56 = 518.22 : x
  2. Step 2: Convert to fraction form
    849.88/1,172.56 = 518.22/x
  3. Step 3: Cross multiply
    849.88x = 1,172.56 × 518.22
  4. Step 4: Simplify right side
    849.88x = 607,644.04
  5. Step 5: Solve for x
    x = 607,644.04/849.88
  6. Step 6: Final answer
    x = 714.98

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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.