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Finding the Fourth Proportional to 729.10, 1,093.85 and 420.90

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Solution

The fourth proportional to 729.10, 1,093.85 and 420.90 is: 631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.10 : 1,093.85 = 420.90 : x
  2. Step 2: Convert to fraction form
    729.10/1,093.85 = 420.90/x
  3. Step 3: Cross multiply
    729.10x = 1,093.85 × 420.90
  4. Step 4: Simplify right side
    729.10x = 460,401.47
  5. Step 5: Solve for x
    x = 460,401.47/729.10
  6. Step 6: Final answer
    x = 631.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.