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Finding the Fourth Proportional to 899.69, 1,347.69 and 797.24

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Solution

The fourth proportional to 899.69, 1,347.69 and 797.24 is: 1,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.69 : 1,347.69 = 797.24 : x
  2. Step 2: Convert to fraction form
    899.69/1,347.69 = 797.24/x
  3. Step 3: Cross multiply
    899.69x = 1,347.69 × 797.24
  4. Step 4: Simplify right side
    899.69x = 1,074,432.38
  5. Step 5: Solve for x
    x = 1,074,432.38/899.69
  6. Step 6: Final answer
    x = 1,194.23

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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.