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Finding the Fourth Proportional to 1,171.10, 1,615.51 and 872.66

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Solution

The fourth proportional to 1,171.10, 1,615.51 and 872.66 is: 1,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.10 : 1,615.51 = 872.66 : x
  2. Step 2: Convert to fraction form
    1,171.10/1,615.51 = 872.66/x
  3. Step 3: Cross multiply
    1,171.10x = 1,615.51 × 872.66
  4. Step 4: Simplify right side
    1,171.10x = 1,409,790.96
  5. Step 5: Solve for x
    x = 1,409,790.96/1,171.10
  6. Step 6: Final answer
    x = 1,203.82

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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.