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Finding the Fourth Proportional to 1,732.45, 2,599.13 and 499.96

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Solution

The fourth proportional to 1,732.45, 2,599.13 and 499.96 is: 750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.45 : 2,599.13 = 499.96 : x
  2. Step 2: Convert to fraction form
    1,732.45/2,599.13 = 499.96/x
  3. Step 3: Cross multiply
    1,732.45x = 2,599.13 × 499.96
  4. Step 4: Simplify right side
    1,732.45x = 1,299,461.03
  5. Step 5: Solve for x
    x = 1,299,461.03/1,732.45
  6. Step 6: Final answer
    x = 750.07

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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.