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Finding the Fourth Proportional to 724.88, 1,000.76 and 445.23

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Solution

The fourth proportional to 724.88, 1,000.76 and 445.23 is: 614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.88 : 1,000.76 = 445.23 : x
  2. Step 2: Convert to fraction form
    724.88/1,000.76 = 445.23/x
  3. Step 3: Cross multiply
    724.88x = 1,000.76 × 445.23
  4. Step 4: Simplify right side
    724.88x = 445,566.15
  5. Step 5: Solve for x
    x = 445,566.15/724.88
  6. Step 6: Final answer
    x = 614.67

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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.