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Finding the Fourth Proportional to 769.80, 1,154.14 and 496.02

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Solution

The fourth proportional to 769.80, 1,154.14 and 496.02 is: 743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.80 : 1,154.14 = 496.02 : x
  2. Step 2: Convert to fraction form
    769.80/1,154.14 = 496.02/x
  3. Step 3: Cross multiply
    769.80x = 1,154.14 × 496.02
  4. Step 4: Simplify right side
    769.80x = 572,476.52
  5. Step 5: Solve for x
    x = 572,476.52/769.80
  6. Step 6: Final answer
    x = 743.67

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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.