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Finding the Fourth Proportional to 729.64, 1,093.50 and 405.16

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Solution

The fourth proportional to 729.64, 1,093.50 and 405.16 is: 607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.64 : 1,093.50 = 405.16 : x
  2. Step 2: Convert to fraction form
    729.64/1,093.50 = 405.16/x
  3. Step 3: Cross multiply
    729.64x = 1,093.50 × 405.16
  4. Step 4: Simplify right side
    729.64x = 443,042.46
  5. Step 5: Solve for x
    x = 443,042.46/729.64
  6. Step 6: Final answer
    x = 607.21

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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.