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Finding the Fourth Proportional to 768.99, 1,153.51 and 729.01

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Solution

The fourth proportional to 768.99, 1,153.51 and 729.01 is: 1,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.99 : 1,153.51 = 729.01 : x
  2. Step 2: Convert to fraction form
    768.99/1,153.51 = 729.01/x
  3. Step 3: Cross multiply
    768.99x = 1,153.51 × 729.01
  4. Step 4: Simplify right side
    768.99x = 840,920.33
  5. Step 5: Solve for x
    x = 840,920.33/768.99
  6. Step 6: Final answer
    x = 1,093.54

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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.