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Finding the Fourth Proportional to 1,204.51, 1,662.87 and 762.52

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Solution

The fourth proportional to 1,204.51, 1,662.87 and 762.52 is: 1,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.51 : 1,662.87 = 762.52 : x
  2. Step 2: Convert to fraction form
    1,204.51/1,662.87 = 762.52/x
  3. Step 3: Cross multiply
    1,204.51x = 1,662.87 × 762.52
  4. Step 4: Simplify right side
    1,204.51x = 1,267,971.63
  5. Step 5: Solve for x
    x = 1,267,971.63/1,204.51
  6. Step 6: Final answer
    x = 1,052.69

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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.