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Finding the Fourth Proportional to 729.12, 1,005.82 and 522.24

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Solution

The fourth proportional to 729.12, 1,005.82 and 522.24 is: 720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.12 : 1,005.82 = 522.24 : x
  2. Step 2: Convert to fraction form
    729.12/1,005.82 = 522.24/x
  3. Step 3: Cross multiply
    729.12x = 1,005.82 × 522.24
  4. Step 4: Simplify right side
    729.12x = 525,279.44
  5. Step 5: Solve for x
    x = 525,279.44/729.12
  6. Step 6: Final answer
    x = 720.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.