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Finding the Fourth Proportional to 1,179.95, 1,770.77 and 951.59

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Solution

The fourth proportional to 1,179.95, 1,770.77 and 951.59 is: 1,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.95 : 1,770.77 = 951.59 : x
  2. Step 2: Convert to fraction form
    1,179.95/1,770.77 = 951.59/x
  3. Step 3: Cross multiply
    1,179.95x = 1,770.77 × 951.59
  4. Step 4: Simplify right side
    1,179.95x = 1,685,046.69
  5. Step 5: Solve for x
    x = 1,685,046.69/1,179.95
  6. Step 6: Final answer
    x = 1,428.07

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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.