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Finding the Fourth Proportional to 1,076.66, 1,485.82 and 762.48

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Solution

The fourth proportional to 1,076.66, 1,485.82 and 762.48 is: 1,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.66 : 1,485.82 = 762.48 : x
  2. Step 2: Convert to fraction form
    1,076.66/1,485.82 = 762.48/x
  3. Step 3: Cross multiply
    1,076.66x = 1,485.82 × 762.48
  4. Step 4: Simplify right side
    1,076.66x = 1,132,908.03
  5. Step 5: Solve for x
    x = 1,132,908.03/1,076.66
  6. Step 6: Final answer
    x = 1,052.24

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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.