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Finding the Fourth Proportional to 1,244.13, 1,716.92 and 684.66

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Solution

The fourth proportional to 1,244.13, 1,716.92 and 684.66 is: 944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.13 : 1,716.92 = 684.66 : x
  2. Step 2: Convert to fraction form
    1,244.13/1,716.92 = 684.66/x
  3. Step 3: Cross multiply
    1,244.13x = 1,716.92 × 684.66
  4. Step 4: Simplify right side
    1,244.13x = 1,175,503.02
  5. Step 5: Solve for x
    x = 1,175,503.02/1,244.13
  6. Step 6: Final answer
    x = 944.84

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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.