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Finding the Fourth Proportional to 769.49, 1,151.80 and 623.69

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Solution

The fourth proportional to 769.49, 1,151.80 and 623.69 is: 933.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.49 : 1,151.80 = 623.69 : x
  2. Step 2: Convert to fraction form
    769.49/1,151.80 = 623.69/x
  3. Step 3: Cross multiply
    769.49x = 1,151.80 × 623.69
  4. Step 4: Simplify right side
    769.49x = 718,366.14
  5. Step 5: Solve for x
    x = 718,366.14/769.49
  6. Step 6: Final answer
    x = 933.56

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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.