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Finding the Fourth Proportional to 899.48, 1,241.40 and 506.52

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Solution

The fourth proportional to 899.48, 1,241.40 and 506.52 is: 699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.48 : 1,241.40 = 506.52 : x
  2. Step 2: Convert to fraction form
    899.48/1,241.40 = 506.52/x
  3. Step 3: Cross multiply
    899.48x = 1,241.40 × 506.52
  4. Step 4: Simplify right side
    899.48x = 628,793.93
  5. Step 5: Solve for x
    x = 628,793.93/899.48
  6. Step 6: Final answer
    x = 699.06

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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.