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Finding the Fourth Proportional to 769.69, 1,152.60 and 596.08

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Solution

The fourth proportional to 769.69, 1,152.60 and 596.08 is: 892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.69 : 1,152.60 = 596.08 : x
  2. Step 2: Convert to fraction form
    769.69/1,152.60 = 596.08/x
  3. Step 3: Cross multiply
    769.69x = 1,152.60 × 596.08
  4. Step 4: Simplify right side
    769.69x = 687,041.81
  5. Step 5: Solve for x
    x = 687,041.81/769.69
  6. Step 6: Final answer
    x = 892.62

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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.