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Finding the Fourth Proportional to 729.76, 1,095.44 and 405.76

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Solution

The fourth proportional to 729.76, 1,095.44 and 405.76 is: 609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.76 : 1,095.44 = 405.76 : x
  2. Step 2: Convert to fraction form
    729.76/1,095.44 = 405.76/x
  3. Step 3: Cross multiply
    729.76x = 1,095.44 × 405.76
  4. Step 4: Simplify right side
    729.76x = 444,485.73
  5. Step 5: Solve for x
    x = 444,485.73/729.76
  6. Step 6: Final answer
    x = 609.08

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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.