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Finding the Fourth Proportional to 742.87, 1,023.06 and 740.67

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Solution

The fourth proportional to 742.87, 1,023.06 and 740.67 is: 1,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.87 : 1,023.06 = 740.67 : x
  2. Step 2: Convert to fraction form
    742.87/1,023.06 = 740.67/x
  3. Step 3: Cross multiply
    742.87x = 1,023.06 × 740.67
  4. Step 4: Simplify right side
    742.87x = 757,749.85
  5. Step 5: Solve for x
    x = 757,749.85/742.87
  6. Step 6: Final answer
    x = 1,020.03

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Why These Related Problems?

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