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Finding the Fourth Proportional to 1,244.49, 1,716.42 and 965.58

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Solution

The fourth proportional to 1,244.49, 1,716.42 and 965.58 is: 1,331.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.49 : 1,716.42 = 965.58 : x
  2. Step 2: Convert to fraction form
    1,244.49/1,716.42 = 965.58/x
  3. Step 3: Cross multiply
    1,244.49x = 1,716.42 × 965.58
  4. Step 4: Simplify right side
    1,244.49x = 1,657,340.82
  5. Step 5: Solve for x
    x = 1,657,340.82/1,244.49
  6. Step 6: Final answer
    x = 1,331.74

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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.