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Finding the Fourth Proportional to 900.20, 1,241.94 and 568.50

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Solution

The fourth proportional to 900.20, 1,241.94 and 568.50 is: 784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.20 : 1,241.94 = 568.50 : x
  2. Step 2: Convert to fraction form
    900.20/1,241.94 = 568.50/x
  3. Step 3: Cross multiply
    900.20x = 1,241.94 × 568.50
  4. Step 4: Simplify right side
    900.20x = 706,040.05
  5. Step 5: Solve for x
    x = 706,040.05/900.20
  6. Step 6: Final answer
    x = 784.31

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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.