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Finding the Fourth Proportional to 754.79, 1,129.77 and 492.69

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Solution

The fourth proportional to 754.79, 1,129.77 and 492.69 is: 737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.79 : 1,129.77 = 492.69 : x
  2. Step 2: Convert to fraction form
    754.79/1,129.77 = 492.69/x
  3. Step 3: Cross multiply
    754.79x = 1,129.77 × 492.69
  4. Step 4: Simplify right side
    754.79x = 556,626.38
  5. Step 5: Solve for x
    x = 556,626.38/754.79
  6. Step 6: Final answer
    x = 737.46

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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.