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Finding the Fourth Proportional to 1,211.82, 1,672.57 and 714.27

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Solution

The fourth proportional to 1,211.82, 1,672.57 and 714.27 is: 985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.82 : 1,672.57 = 714.27 : x
  2. Step 2: Convert to fraction form
    1,211.82/1,672.57 = 714.27/x
  3. Step 3: Cross multiply
    1,211.82x = 1,672.57 × 714.27
  4. Step 4: Simplify right side
    1,211.82x = 1,194,666.57
  5. Step 5: Solve for x
    x = 1,194,666.57/1,211.82
  6. Step 6: Final answer
    x = 985.84

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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.