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Finding the Fourth Proportional to 1,171.38, 1,759.54 and 738.84

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Solution

The fourth proportional to 1,171.38, 1,759.54 and 738.84 is: 1,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.38 : 1,759.54 = 738.84 : x
  2. Step 2: Convert to fraction form
    1,171.38/1,759.54 = 738.84/x
  3. Step 3: Cross multiply
    1,171.38x = 1,759.54 × 738.84
  4. Step 4: Simplify right side
    1,171.38x = 1,300,018.53
  5. Step 5: Solve for x
    x = 1,300,018.53/1,171.38
  6. Step 6: Final answer
    x = 1,109.82

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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.