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Finding the Fourth Proportional to 822.96, 1,135.08 and 561.06

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Solution

The fourth proportional to 822.96, 1,135.08 and 561.06 is: 773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.96 : 1,135.08 = 561.06 : x
  2. Step 2: Convert to fraction form
    822.96/1,135.08 = 561.06/x
  3. Step 3: Cross multiply
    822.96x = 1,135.08 × 561.06
  4. Step 4: Simplify right side
    822.96x = 636,847.98
  5. Step 5: Solve for x
    x = 636,847.98/822.96
  6. Step 6: Final answer
    x = 773.85

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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.