Home / 1,082.45-1,623.47-433.10

Finding the Fourth Proportional to 1,082.45, 1,623.47 and 433.10

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Solution

The fourth proportional to 1,082.45, 1,623.47 and 433.10 is: 649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.45 : 1,623.47 = 433.10 : x
  2. Step 2: Convert to fraction form
    1,082.45/1,623.47 = 433.10/x
  3. Step 3: Cross multiply
    1,082.45x = 1,623.47 × 433.10
  4. Step 4: Simplify right side
    1,082.45x = 703,114.57
  5. Step 5: Solve for x
    x = 703,114.57/1,082.45
  6. Step 6: Final answer
    x = 649.56

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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.