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Finding the Fourth Proportional to 899.80, 1,241.72 and 568.37

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Solution

The fourth proportional to 899.80, 1,241.72 and 568.37 is: 784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.80 : 1,241.72 = 568.37 : x
  2. Step 2: Convert to fraction form
    899.80/1,241.72 = 568.37/x
  3. Step 3: Cross multiply
    899.80x = 1,241.72 × 568.37
  4. Step 4: Simplify right side
    899.80x = 705,757.82
  5. Step 5: Solve for x
    x = 705,757.82/899.80
  6. Step 6: Final answer
    x = 784.35

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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.