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Finding the Fourth Proportional to 822.57, 1,135.22 and 468.51

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Solution

The fourth proportional to 822.57, 1,135.22 and 468.51 is: 646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.57 : 1,135.22 = 468.51 : x
  2. Step 2: Convert to fraction form
    822.57/1,135.22 = 468.51/x
  3. Step 3: Cross multiply
    822.57x = 1,135.22 × 468.51
  4. Step 4: Simplify right side
    822.57x = 531,860.26
  5. Step 5: Solve for x
    x = 531,860.26/822.57
  6. Step 6: Final answer
    x = 646.58

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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.