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Finding the Fourth Proportional to 899.46, 1,241.01 and 567.72

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Solution

The fourth proportional to 899.46, 1,241.01 and 567.72 is: 783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.46 : 1,241.01 = 567.72 : x
  2. Step 2: Convert to fraction form
    899.46/1,241.01 = 567.72/x
  3. Step 3: Cross multiply
    899.46x = 1,241.01 × 567.72
  4. Step 4: Simplify right side
    899.46x = 704,546.20
  5. Step 5: Solve for x
    x = 704,546.20/899.46
  6. Step 6: Final answer
    x = 783.30

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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.