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Finding the Fourth Proportional to 723.54, 1,082.59 and 429.96

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Solution

The fourth proportional to 723.54, 1,082.59 and 429.96 is: 643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.54 : 1,082.59 = 429.96 : x
  2. Step 2: Convert to fraction form
    723.54/1,082.59 = 429.96/x
  3. Step 3: Cross multiply
    723.54x = 1,082.59 × 429.96
  4. Step 4: Simplify right side
    723.54x = 465,469.32
  5. Step 5: Solve for x
    x = 465,469.32/723.54
  6. Step 6: Final answer
    x = 643.32

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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.