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Finding the Fourth Proportional to 1,169.40, 1,615.62 and 837.96

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Solution

The fourth proportional to 1,169.40, 1,615.62 and 837.96 is: 1,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.40 : 1,615.62 = 837.96 : x
  2. Step 2: Convert to fraction form
    1,169.40/1,615.62 = 837.96/x
  3. Step 3: Cross multiply
    1,169.40x = 1,615.62 × 837.96
  4. Step 4: Simplify right side
    1,169.40x = 1,353,824.94
  5. Step 5: Solve for x
    x = 1,353,824.94/1,169.40
  6. Step 6: Final answer
    x = 1,157.71

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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.