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Finding the Fourth Proportional to 1,076.29, 1,482.30 and 936.36

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Solution

The fourth proportional to 1,076.29, 1,482.30 and 936.36 is: 1,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.29 : 1,482.30 = 936.36 : x
  2. Step 2: Convert to fraction form
    1,076.29/1,482.30 = 936.36/x
  3. Step 3: Cross multiply
    1,076.29x = 1,482.30 × 936.36
  4. Step 4: Simplify right side
    1,076.29x = 1,387,966.43
  5. Step 5: Solve for x
    x = 1,387,966.43/1,076.29
  6. Step 6: Final answer
    x = 1,289.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.