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Finding the Fourth Proportional to 1,080.67, 1,617.90 and 750.55

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Solution

The fourth proportional to 1,080.67, 1,617.90 and 750.55 is: 1,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.67 : 1,617.90 = 750.55 : x
  2. Step 2: Convert to fraction form
    1,080.67/1,617.90 = 750.55/x
  3. Step 3: Cross multiply
    1,080.67x = 1,617.90 × 750.55
  4. Step 4: Simplify right side
    1,080.67x = 1,214,314.85
  5. Step 5: Solve for x
    x = 1,214,314.85/1,080.67
  6. Step 6: Final answer
    x = 1,123.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.