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Finding the Fourth Proportional to 1,185.87, 1,636.47 and 688.49

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Solution

The fourth proportional to 1,185.87, 1,636.47 and 688.49 is: 950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.87 : 1,636.47 = 688.49 : x
  2. Step 2: Convert to fraction form
    1,185.87/1,636.47 = 688.49/x
  3. Step 3: Cross multiply
    1,185.87x = 1,636.47 × 688.49
  4. Step 4: Simplify right side
    1,185.87x = 1,126,685.05
  5. Step 5: Solve for x
    x = 1,126,685.05/1,185.87
  6. Step 6: Final answer
    x = 950.09

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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.