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Finding the Fourth Proportional to 788.18, 1,086.05 and 733.50

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Solution

The fourth proportional to 788.18, 1,086.05 and 733.50 is: 1,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.18 : 1,086.05 = 733.50 : x
  2. Step 2: Convert to fraction form
    788.18/1,086.05 = 733.50/x
  3. Step 3: Cross multiply
    788.18x = 1,086.05 × 733.50
  4. Step 4: Simplify right side
    788.18x = 796,614.01
  5. Step 5: Solve for x
    x = 796,614.01/788.18
  6. Step 6: Final answer
    x = 1,010.71

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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.