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Finding the Fourth Proportional to 1,211.69, 1,818.35 and 779.15

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Solution

The fourth proportional to 1,211.69, 1,818.35 and 779.15 is: 1,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.69 : 1,818.35 = 779.15 : x
  2. Step 2: Convert to fraction form
    1,211.69/1,818.35 = 779.15/x
  3. Step 3: Cross multiply
    1,211.69x = 1,818.35 × 779.15
  4. Step 4: Simplify right side
    1,211.69x = 1,416,754.42
  5. Step 5: Solve for x
    x = 1,416,754.42/1,211.69
  6. Step 6: Final answer
    x = 1,169.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.