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Finding the Fourth Proportional to 1,082.02, 1,623.93 and 433.21

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Solution

The fourth proportional to 1,082.02, 1,623.93 and 433.21 is: 650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.02 : 1,623.93 = 433.21 : x
  2. Step 2: Convert to fraction form
    1,082.02/1,623.93 = 433.21/x
  3. Step 3: Cross multiply
    1,082.02x = 1,623.93 × 433.21
  4. Step 4: Simplify right side
    1,082.02x = 703,502.72
  5. Step 5: Solve for x
    x = 703,502.72/1,082.02
  6. Step 6: Final answer
    x = 650.18

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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.