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Finding the Fourth Proportional to 1,082.89, 1,624.20 and 433.63

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Solution

The fourth proportional to 1,082.89, 1,624.20 and 433.63 is: 650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.89 : 1,624.20 = 433.63 : x
  2. Step 2: Convert to fraction form
    1,082.89/1,624.20 = 433.63/x
  3. Step 3: Cross multiply
    1,082.89x = 1,624.20 × 433.63
  4. Step 4: Simplify right side
    1,082.89x = 704,301.85
  5. Step 5: Solve for x
    x = 704,301.85/1,082.89
  6. Step 6: Final answer
    x = 650.39

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1.5x scale

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.