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Finding the Fourth Proportional to 1,082.71, 1,624.53 and 433.27

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Solution

The fourth proportional to 1,082.71, 1,624.53 and 433.27 is: 650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.71 : 1,624.53 = 433.27 : x
  2. Step 2: Convert to fraction form
    1,082.71/1,624.53 = 433.27/x
  3. Step 3: Cross multiply
    1,082.71x = 1,624.53 × 433.27
  4. Step 4: Simplify right side
    1,082.71x = 703,860.11
  5. Step 5: Solve for x
    x = 703,860.11/1,082.71
  6. Step 6: Final answer
    x = 650.09

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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.