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Finding the Fourth Proportional to 1,182.68, 1,632.01 and 685.39

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Solution

The fourth proportional to 1,182.68, 1,632.01 and 685.39 is: 945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.68 : 1,632.01 = 685.39 : x
  2. Step 2: Convert to fraction form
    1,182.68/1,632.01 = 685.39/x
  3. Step 3: Cross multiply
    1,182.68x = 1,632.01 × 685.39
  4. Step 4: Simplify right side
    1,182.68x = 1,118,563.33
  5. Step 5: Solve for x
    x = 1,118,563.33/1,182.68
  6. Step 6: Final answer
    x = 945.79

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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.