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Finding the Fourth Proportional to 1,204.23, 1,661.85 and 732.03

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Solution

The fourth proportional to 1,204.23, 1,661.85 and 732.03 is: 1,010.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.23 : 1,661.85 = 732.03 : x
  2. Step 2: Convert to fraction form
    1,204.23/1,661.85 = 732.03/x
  3. Step 3: Cross multiply
    1,204.23x = 1,661.85 × 732.03
  4. Step 4: Simplify right side
    1,204.23x = 1,216,524.06
  5. Step 5: Solve for x
    x = 1,216,524.06/1,204.23
  6. Step 6: Final answer
    x = 1,010.21

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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.