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Finding the Fourth Proportional to 720.57, 1,082.91 and 355.62

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Solution

The fourth proportional to 720.57, 1,082.91 and 355.62 is: 534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.57 : 1,082.91 = 355.62 : x
  2. Step 2: Convert to fraction form
    720.57/1,082.91 = 355.62/x
  3. Step 3: Cross multiply
    720.57x = 1,082.91 × 355.62
  4. Step 4: Simplify right side
    720.57x = 385,104.45
  5. Step 5: Solve for x
    x = 385,104.45/720.57
  6. Step 6: Final answer
    x = 534.44

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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.