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Finding the Fourth Proportional to 1,731.74, 2,597.99 and 499.16

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Solution

The fourth proportional to 1,731.74, 2,597.99 and 499.16 is: 748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.74 : 2,597.99 = 499.16 : x
  2. Step 2: Convert to fraction form
    1,731.74/2,597.99 = 499.16/x
  3. Step 3: Cross multiply
    1,731.74x = 2,597.99 × 499.16
  4. Step 4: Simplify right side
    1,731.74x = 1,296,812.69
  5. Step 5: Solve for x
    x = 1,296,812.69/1,731.74
  6. Step 6: Final answer
    x = 748.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.