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Finding the Fourth Proportional to 1,082.46, 1,623.24 and 432.75

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Solution

The fourth proportional to 1,082.46, 1,623.24 and 432.75 is: 648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.46 : 1,623.24 = 432.75 : x
  2. Step 2: Convert to fraction form
    1,082.46/1,623.24 = 432.75/x
  3. Step 3: Cross multiply
    1,082.46x = 1,623.24 × 432.75
  4. Step 4: Simplify right side
    1,082.46x = 702,457.11
  5. Step 5: Solve for x
    x = 702,457.11/1,082.46
  6. Step 6: Final answer
    x = 648.95

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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.