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Finding the Fourth Proportional to 1,173.86, 1,759.57 and 626.70

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Solution

The fourth proportional to 1,173.86, 1,759.57 and 626.70 is: 939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.86 : 1,759.57 = 626.70 : x
  2. Step 2: Convert to fraction form
    1,173.86/1,759.57 = 626.70/x
  3. Step 3: Cross multiply
    1,173.86x = 1,759.57 × 626.70
  4. Step 4: Simplify right side
    1,173.86x = 1,102,722.52
  5. Step 5: Solve for x
    x = 1,102,722.52/1,173.86
  6. Step 6: Final answer
    x = 939.40

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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.