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Finding the Fourth Proportional to 822.83, 1,135.41 and 468.76

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Solution

The fourth proportional to 822.83, 1,135.41 and 468.76 is: 646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.83 : 1,135.41 = 468.76 : x
  2. Step 2: Convert to fraction form
    822.83/1,135.41 = 468.76/x
  3. Step 3: Cross multiply
    822.83x = 1,135.41 × 468.76
  4. Step 4: Simplify right side
    822.83x = 532,231.12
  5. Step 5: Solve for x
    x = 532,231.12/822.83
  6. Step 6: Final answer
    x = 646.83

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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.