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Finding the Fourth Proportional to 822.44, 1,135.02 and 473.12

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Solution

The fourth proportional to 822.44, 1,135.02 and 473.12 is: 652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.44 : 1,135.02 = 473.12 : x
  2. Step 2: Convert to fraction form
    822.44/1,135.02 = 473.12/x
  3. Step 3: Cross multiply
    822.44x = 1,135.02 × 473.12
  4. Step 4: Simplify right side
    822.44x = 537,000.66
  5. Step 5: Solve for x
    x = 537,000.66/822.44
  6. Step 6: Final answer
    x = 652.94

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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.