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Finding the Fourth Proportional to 1,186.49, 1,637.01 and 744.86

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Solution

The fourth proportional to 1,186.49, 1,637.01 and 744.86 is: 1,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.49 : 1,637.01 = 744.86 : x
  2. Step 2: Convert to fraction form
    1,186.49/1,637.01 = 744.86/x
  3. Step 3: Cross multiply
    1,186.49x = 1,637.01 × 744.86
  4. Step 4: Simplify right side
    1,186.49x = 1,219,335.08
  5. Step 5: Solve for x
    x = 1,219,335.08/1,186.49
  6. Step 6: Final answer
    x = 1,027.69

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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.