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Finding the Fourth Proportional to 899.72, 1,242.09 and 563.74

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Solution

The fourth proportional to 899.72, 1,242.09 and 563.74 is: 778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.72 : 1,242.09 = 563.74 : x
  2. Step 2: Convert to fraction form
    899.72/1,242.09 = 563.74/x
  3. Step 3: Cross multiply
    899.72x = 1,242.09 × 563.74
  4. Step 4: Simplify right side
    899.72x = 700,215.82
  5. Step 5: Solve for x
    x = 700,215.82/899.72
  6. Step 6: Final answer
    x = 778.26

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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.