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Finding the Fourth Proportional to 1,185.14, 1,635.44 and 687.93

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Solution

The fourth proportional to 1,185.14, 1,635.44 and 687.93 is: 949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.14 : 1,635.44 = 687.93 : x
  2. Step 2: Convert to fraction form
    1,185.14/1,635.44 = 687.93/x
  3. Step 3: Cross multiply
    1,185.14x = 1,635.44 × 687.93
  4. Step 4: Simplify right side
    1,185.14x = 1,125,064.80
  5. Step 5: Solve for x
    x = 1,125,064.80/1,185.14
  6. Step 6: Final answer
    x = 949.31

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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.