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Finding the Fourth Proportional to 1,182.53, 1,632.09 and 685.48

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Solution

The fourth proportional to 1,182.53, 1,632.09 and 685.48 is: 946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.53 : 1,632.09 = 685.48 : x
  2. Step 2: Convert to fraction form
    1,182.53/1,632.09 = 685.48/x
  3. Step 3: Cross multiply
    1,182.53x = 1,632.09 × 685.48
  4. Step 4: Simplify right side
    1,182.53x = 1,118,765.05
  5. Step 5: Solve for x
    x = 1,118,765.05/1,182.53
  6. Step 6: Final answer
    x = 946.08

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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.