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Finding the Fourth Proportional to 1,230.67, 1,697.56 and 758.80

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Solution

The fourth proportional to 1,230.67, 1,697.56 and 758.80 is: 1,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.67 : 1,697.56 = 758.80 : x
  2. Step 2: Convert to fraction form
    1,230.67/1,697.56 = 758.80/x
  3. Step 3: Cross multiply
    1,230.67x = 1,697.56 × 758.80
  4. Step 4: Simplify right side
    1,230.67x = 1,288,108.53
  5. Step 5: Solve for x
    x = 1,288,108.53/1,230.67
  6. Step 6: Final answer
    x = 1,046.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.