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Finding the Fourth Proportional to 849.55, 1,172.17 and 517.96

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Solution

The fourth proportional to 849.55, 1,172.17 and 517.96 is: 714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.55 : 1,172.17 = 517.96 : x
  2. Step 2: Convert to fraction form
    849.55/1,172.17 = 517.96/x
  3. Step 3: Cross multiply
    849.55x = 1,172.17 × 517.96
  4. Step 4: Simplify right side
    849.55x = 607,128.72
  5. Step 5: Solve for x
    x = 607,128.72/849.55
  6. Step 6: Final answer
    x = 714.65

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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.