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Finding the Fourth Proportional to 769.02, 1,152.03 and 461.13

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Solution

The fourth proportional to 769.02, 1,152.03 and 461.13 is: 690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.02 : 1,152.03 = 461.13 : x
  2. Step 2: Convert to fraction form
    769.02/1,152.03 = 461.13/x
  3. Step 3: Cross multiply
    769.02x = 1,152.03 × 461.13
  4. Step 4: Simplify right side
    769.02x = 531,235.59
  5. Step 5: Solve for x
    x = 531,235.59/769.02
  6. Step 6: Final answer
    x = 690.80

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Why These Related Problems?

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