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Finding the Fourth Proportional to 1,186.74, 1,637.78 and 689.54

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Solution

The fourth proportional to 1,186.74, 1,637.78 and 689.54 is: 951.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.74 : 1,637.78 = 689.54 : x
  2. Step 2: Convert to fraction form
    1,186.74/1,637.78 = 689.54/x
  3. Step 3: Cross multiply
    1,186.74x = 1,637.78 × 689.54
  4. Step 4: Simplify right side
    1,186.74x = 1,129,314.82
  5. Step 5: Solve for x
    x = 1,129,314.82/1,186.74
  6. Step 6: Final answer
    x = 951.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.