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Finding the Fourth Proportional to 729.07, 1,095.26 and 421.67

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Solution

The fourth proportional to 729.07, 1,095.26 and 421.67 is: 633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.07 : 1,095.26 = 421.67 : x
  2. Step 2: Convert to fraction form
    729.07/1,095.26 = 421.67/x
  3. Step 3: Cross multiply
    729.07x = 1,095.26 × 421.67
  4. Step 4: Simplify right side
    729.07x = 461,838.91
  5. Step 5: Solve for x
    x = 461,838.91/729.07
  6. Step 6: Final answer
    x = 633.47

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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.