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Finding the Fourth Proportional to 1,082.28, 1,624.03 and 433.07

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Solution

The fourth proportional to 1,082.28, 1,624.03 and 433.07 is: 649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.28 : 1,624.03 = 433.07 : x
  2. Step 2: Convert to fraction form
    1,082.28/1,624.03 = 433.07/x
  3. Step 3: Cross multiply
    1,082.28x = 1,624.03 × 433.07
  4. Step 4: Simplify right side
    1,082.28x = 703,318.67
  5. Step 5: Solve for x
    x = 703,318.67/1,082.28
  6. Step 6: Final answer
    x = 649.85

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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.