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Finding the Fourth Proportional to 742.06, 1,024.25 and 431.56

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Solution

The fourth proportional to 742.06, 1,024.25 and 431.56 is: 595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.06 : 1,024.25 = 431.56 : x
  2. Step 2: Convert to fraction form
    742.06/1,024.25 = 431.56/x
  3. Step 3: Cross multiply
    742.06x = 1,024.25 × 431.56
  4. Step 4: Simplify right side
    742.06x = 442,025.33
  5. Step 5: Solve for x
    x = 442,025.33/742.06
  6. Step 6: Final answer
    x = 595.67

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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.