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Finding the Fourth Proportional to 1,095.27, 1,641.07 and 770.05

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Solution

The fourth proportional to 1,095.27, 1,641.07 and 770.05 is: 1,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.27 : 1,641.07 = 770.05 : x
  2. Step 2: Convert to fraction form
    1,095.27/1,641.07 = 770.05/x
  3. Step 3: Cross multiply
    1,095.27x = 1,641.07 × 770.05
  4. Step 4: Simplify right side
    1,095.27x = 1,263,705.95
  5. Step 5: Solve for x
    x = 1,263,705.95/1,095.27
  6. Step 6: Final answer
    x = 1,153.78

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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.