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Finding the Fourth Proportional to 729, 1,090.46 and 605.68

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Solution

The fourth proportional to 729, 1,090.46 and 605.68 is: 905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 1,090.46 = 605.68 : x
  2. Step 2: Convert to fraction form
    729/1,090.46 = 605.68/x
  3. Step 3: Cross multiply
    729x = 1,090.46 × 605.68
  4. Step 4: Simplify right side
    729x = 660,468.60
  5. Step 5: Solve for x
    x = 660,468.60/729
  6. Step 6: Final answer
    x = 905.99

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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.