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Finding the Fourth Proportional to 899.82, 1,241.67 and 501.48

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Solution

The fourth proportional to 899.82, 1,241.67 and 501.48 is: 692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.82 : 1,241.67 = 501.48 : x
  2. Step 2: Convert to fraction form
    899.82/1,241.67 = 501.48/x
  3. Step 3: Cross multiply
    899.82x = 1,241.67 × 501.48
  4. Step 4: Simplify right side
    899.82x = 622,672.67
  5. Step 5: Solve for x
    x = 622,672.67/899.82
  6. Step 6: Final answer
    x = 692.00

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Why These Related Problems?

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