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Finding the Fourth Proportional to 743.36, 1,115.48 and 685.99

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Solution

The fourth proportional to 743.36, 1,115.48 and 685.99 is: 1,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.36 : 1,115.48 = 685.99 : x
  2. Step 2: Convert to fraction form
    743.36/1,115.48 = 685.99/x
  3. Step 3: Cross multiply
    743.36x = 1,115.48 × 685.99
  4. Step 4: Simplify right side
    743.36x = 765,208.13
  5. Step 5: Solve for x
    x = 765,208.13/743.36
  6. Step 6: Final answer
    x = 1,029.39

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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.