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Finding the Fourth Proportional to 1,082.32, 1,623.72 and 351.84

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Solution

The fourth proportional to 1,082.32, 1,623.72 and 351.84 is: 527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.32 : 1,623.72 = 351.84 : x
  2. Step 2: Convert to fraction form
    1,082.32/1,623.72 = 351.84/x
  3. Step 3: Cross multiply
    1,082.32x = 1,623.72 × 351.84
  4. Step 4: Simplify right side
    1,082.32x = 571,289.64
  5. Step 5: Solve for x
    x = 571,289.64/1,082.32
  6. Step 6: Final answer
    x = 527.84

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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.