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Finding the Fourth Proportional to 1,204.38, 1,661.71 and 762.47

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Solution

The fourth proportional to 1,204.38, 1,661.71 and 762.47 is: 1,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.38 : 1,661.71 = 762.47 : x
  2. Step 2: Convert to fraction form
    1,204.38/1,661.71 = 762.47/x
  3. Step 3: Cross multiply
    1,204.38x = 1,661.71 × 762.47
  4. Step 4: Simplify right side
    1,204.38x = 1,267,004.02
  5. Step 5: Solve for x
    x = 1,267,004.02/1,204.38
  6. Step 6: Final answer
    x = 1,052.00

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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.