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Finding the Fourth Proportional to 822.92, 1,134.88 and 647.96

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Solution

The fourth proportional to 822.92, 1,134.88 and 647.96 is: 893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.92 : 1,134.88 = 647.96 : x
  2. Step 2: Convert to fraction form
    822.92/1,134.88 = 647.96/x
  3. Step 3: Cross multiply
    822.92x = 1,134.88 × 647.96
  4. Step 4: Simplify right side
    822.92x = 735,356.84
  5. Step 5: Solve for x
    x = 735,356.84/822.92
  6. Step 6: Final answer
    x = 893.59

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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.