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Finding the Fourth Proportional to 849.19, 1,171.71 and 517.77

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Solution

The fourth proportional to 849.19, 1,171.71 and 517.77 is: 714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.19 : 1,171.71 = 517.77 : x
  2. Step 2: Convert to fraction form
    849.19/1,171.71 = 517.77/x
  3. Step 3: Cross multiply
    849.19x = 1,171.71 × 517.77
  4. Step 4: Simplify right side
    849.19x = 606,676.29
  5. Step 5: Solve for x
    x = 606,676.29/849.19
  6. Step 6: Final answer
    x = 714.42

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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.