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Finding the Fourth Proportional to 822.76, 1,133.76 and 601.27

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Solution

The fourth proportional to 822.76, 1,133.76 and 601.27 is: 828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.76 : 1,133.76 = 601.27 : x
  2. Step 2: Convert to fraction form
    822.76/1,133.76 = 601.27/x
  3. Step 3: Cross multiply
    822.76x = 1,133.76 × 601.27
  4. Step 4: Simplify right side
    822.76x = 681,695.88
  5. Step 5: Solve for x
    x = 681,695.88/822.76
  6. Step 6: Final answer
    x = 828.55

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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.