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Finding the Fourth Proportional to 804.67, 1,109.81 and 525

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Solution

The fourth proportional to 804.67, 1,109.81 and 525 is: 724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.67 : 1,109.81 = 525 : x
  2. Step 2: Convert to fraction form
    804.67/1,109.81 = 525/x
  3. Step 3: Cross multiply
    804.67x = 1,109.81 × 525
  4. Step 4: Simplify right side
    804.67x = 582,650.25
  5. Step 5: Solve for x
    x = 582,650.25/804.67
  6. Step 6: Final answer
    x = 724.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.