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Finding the Fourth Proportional to 899.82, 1,241.43 and 545.64

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Solution

The fourth proportional to 899.82, 1,241.43 and 545.64 is: 752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.82 : 1,241.43 = 545.64 : x
  2. Step 2: Convert to fraction form
    899.82/1,241.43 = 545.64/x
  3. Step 3: Cross multiply
    899.82x = 1,241.43 × 545.64
  4. Step 4: Simplify right side
    899.82x = 677,373.87
  5. Step 5: Solve for x
    x = 677,373.87/899.82
  6. Step 6: Final answer
    x = 752.79

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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.