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Finding the Fourth Proportional to 899.68, 1,241.56 and 568.24

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Solution

The fourth proportional to 899.68, 1,241.56 and 568.24 is: 784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.68 : 1,241.56 = 568.24 : x
  2. Step 2: Convert to fraction form
    899.68/1,241.56 = 568.24/x
  3. Step 3: Cross multiply
    899.68x = 1,241.56 × 568.24
  4. Step 4: Simplify right side
    899.68x = 705,504.05
  5. Step 5: Solve for x
    x = 705,504.05/899.68
  6. Step 6: Final answer
    x = 784.17

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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.