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Finding the Fourth Proportional to 819.61, 1,131.18 and 488.06

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Solution

The fourth proportional to 819.61, 1,131.18 and 488.06 is: 673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.61 : 1,131.18 = 488.06 : x
  2. Step 2: Convert to fraction form
    819.61/1,131.18 = 488.06/x
  3. Step 3: Cross multiply
    819.61x = 1,131.18 × 488.06
  4. Step 4: Simplify right side
    819.61x = 552,083.71
  5. Step 5: Solve for x
    x = 552,083.71/819.61
  6. Step 6: Final answer
    x = 673.59

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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.