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Finding the Fourth Proportional to 752.89, 1,129.76 and 406.22

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Solution

The fourth proportional to 752.89, 1,129.76 and 406.22 is: 609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.89 : 1,129.76 = 406.22 : x
  2. Step 2: Convert to fraction form
    752.89/1,129.76 = 406.22/x
  3. Step 3: Cross multiply
    752.89x = 1,129.76 × 406.22
  4. Step 4: Simplify right side
    752.89x = 458,931.11
  5. Step 5: Solve for x
    x = 458,931.11/752.89
  6. Step 6: Final answer
    x = 609.56

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