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Finding the Fourth Proportional to 1,153.53, 1,729.22 and 763.65

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Solution

The fourth proportional to 1,153.53, 1,729.22 and 763.65 is: 1,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.53 : 1,729.22 = 763.65 : x
  2. Step 2: Convert to fraction form
    1,153.53/1,729.22 = 763.65/x
  3. Step 3: Cross multiply
    1,153.53x = 1,729.22 × 763.65
  4. Step 4: Simplify right side
    1,153.53x = 1,320,515.03
  5. Step 5: Solve for x
    x = 1,320,515.03/1,153.53
  6. Step 6: Final answer
    x = 1,144.76

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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.