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Finding the Fourth Proportional to 1,731.84, 2,597.73 and 499.20

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Solution

The fourth proportional to 1,731.84, 2,597.73 and 499.20 is: 748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.84 : 2,597.73 = 499.20 : x
  2. Step 2: Convert to fraction form
    1,731.84/2,597.73 = 499.20/x
  3. Step 3: Cross multiply
    1,731.84x = 2,597.73 × 499.20
  4. Step 4: Simplify right side
    1,731.84x = 1,296,786.82
  5. Step 5: Solve for x
    x = 1,296,786.82/1,731.84
  6. Step 6: Final answer
    x = 748.79

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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.