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Finding the Fourth Proportional to 1,186.42, 1,637.26 and 689.09

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Solution

The fourth proportional to 1,186.42, 1,637.26 and 689.09 is: 950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.42 : 1,637.26 = 689.09 : x
  2. Step 2: Convert to fraction form
    1,186.42/1,637.26 = 689.09/x
  3. Step 3: Cross multiply
    1,186.42x = 1,637.26 × 689.09
  4. Step 4: Simplify right side
    1,186.42x = 1,128,219.49
  5. Step 5: Solve for x
    x = 1,128,219.49/1,186.42
  6. Step 6: Final answer
    x = 950.94

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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.