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Finding the Fourth Proportional to 927.32, 1,388.88 and 836.06

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Solution

The fourth proportional to 927.32, 1,388.88 and 836.06 is: 1,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.32 : 1,388.88 = 836.06 : x
  2. Step 2: Convert to fraction form
    927.32/1,388.88 = 836.06/x
  3. Step 3: Cross multiply
    927.32x = 1,388.88 × 836.06
  4. Step 4: Simplify right side
    927.32x = 1,161,180.07
  5. Step 5: Solve for x
    x = 1,161,180.07/927.32
  6. Step 6: Final answer
    x = 1,252.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.