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Finding the Fourth Proportional to 772.30, 1,069.23 and 733.90

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Solution

The fourth proportional to 772.30, 1,069.23 and 733.90 is: 1,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.30 : 1,069.23 = 733.90 : x
  2. Step 2: Convert to fraction form
    772.30/1,069.23 = 733.90/x
  3. Step 3: Cross multiply
    772.30x = 1,069.23 × 733.90
  4. Step 4: Simplify right side
    772.30x = 784,707.90
  5. Step 5: Solve for x
    x = 784,707.90/772.30
  6. Step 6: Final answer
    x = 1,016.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.