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Finding the Fourth Proportional to 1,170.80, 1,756.66 and 440.44

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Solution

The fourth proportional to 1,170.80, 1,756.66 and 440.44 is: 660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.80 : 1,756.66 = 440.44 : x
  2. Step 2: Convert to fraction form
    1,170.80/1,756.66 = 440.44/x
  3. Step 3: Cross multiply
    1,170.80x = 1,756.66 × 440.44
  4. Step 4: Simplify right side
    1,170.80x = 773,699.90
  5. Step 5: Solve for x
    x = 773,699.90/1,170.80
  6. Step 6: Final answer
    x = 660.83

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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.