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Finding the Fourth Proportional to 1,731.29, 2,597.79 and 757.25

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Solution

The fourth proportional to 1,731.29, 2,597.79 and 757.25 is: 1,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.29 : 2,597.79 = 757.25 : x
  2. Step 2: Convert to fraction form
    1,731.29/2,597.79 = 757.25/x
  3. Step 3: Cross multiply
    1,731.29x = 2,597.79 × 757.25
  4. Step 4: Simplify right side
    1,731.29x = 1,967,176.48
  5. Step 5: Solve for x
    x = 1,967,176.48/1,731.29
  6. Step 6: Final answer
    x = 1,136.25

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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.