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Finding the Fourth Proportional to 872.34, 1,202.43 and 661.83

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Solution

The fourth proportional to 872.34, 1,202.43 and 661.83 is: 912.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.34 : 1,202.43 = 661.83 : x
  2. Step 2: Convert to fraction form
    872.34/1,202.43 = 661.83/x
  3. Step 3: Cross multiply
    872.34x = 1,202.43 × 661.83
  4. Step 4: Simplify right side
    872.34x = 795,804.25
  5. Step 5: Solve for x
    x = 795,804.25/872.34
  6. Step 6: Final answer
    x = 912.26

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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.