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Finding the Fourth Proportional to 927.72, 1,283.04 and 814.32

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Solution

The fourth proportional to 927.72, 1,283.04 and 814.32 is: 1,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.72 : 1,283.04 = 814.32 : x
  2. Step 2: Convert to fraction form
    927.72/1,283.04 = 814.32/x
  3. Step 3: Cross multiply
    927.72x = 1,283.04 × 814.32
  4. Step 4: Simplify right side
    927.72x = 1,044,805.13
  5. Step 5: Solve for x
    x = 1,044,805.13/927.72
  6. Step 6: Final answer
    x = 1,126.21

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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.