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Finding the Fourth Proportional to 1,732.62, 2,599.34 and 500.01

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Solution

The fourth proportional to 1,732.62, 2,599.34 and 500.01 is: 750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.62 : 2,599.34 = 500.01 : x
  2. Step 2: Convert to fraction form
    1,732.62/2,599.34 = 500.01/x
  3. Step 3: Cross multiply
    1,732.62x = 2,599.34 × 500.01
  4. Step 4: Simplify right side
    1,732.62x = 1,299,695.99
  5. Step 5: Solve for x
    x = 1,299,695.99/1,732.62
  6. Step 6: Final answer
    x = 750.13

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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.