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Finding the Fourth Proportional to 822.98, 1,135.28 and 557.43

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Solution

The fourth proportional to 822.98, 1,135.28 and 557.43 is: 768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.98 : 1,135.28 = 557.43 : x
  2. Step 2: Convert to fraction form
    822.98/1,135.28 = 557.43/x
  3. Step 3: Cross multiply
    822.98x = 1,135.28 × 557.43
  4. Step 4: Simplify right side
    822.98x = 632,842.65
  5. Step 5: Solve for x
    x = 632,842.65/822.98
  6. Step 6: Final answer
    x = 768.97

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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.