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Finding the Fourth Proportional to 1,186.89, 1,637.90 and 689.82

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Solution

The fourth proportional to 1,186.89, 1,637.90 and 689.82 is: 951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.89 : 1,637.90 = 689.82 : x
  2. Step 2: Convert to fraction form
    1,186.89/1,637.90 = 689.82/x
  3. Step 3: Cross multiply
    1,186.89x = 1,637.90 × 689.82
  4. Step 4: Simplify right side
    1,186.89x = 1,129,856.18
  5. Step 5: Solve for x
    x = 1,129,856.18/1,186.89
  6. Step 6: Final answer
    x = 951.95

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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.