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Finding the Fourth Proportional to 885.29, 1,221.64 and 486.92

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Solution

The fourth proportional to 885.29, 1,221.64 and 486.92 is: 671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.29 : 1,221.64 = 486.92 : x
  2. Step 2: Convert to fraction form
    885.29/1,221.64 = 486.92/x
  3. Step 3: Cross multiply
    885.29x = 1,221.64 × 486.92
  4. Step 4: Simplify right side
    885.29x = 594,842.79
  5. Step 5: Solve for x
    x = 594,842.79/885.29
  6. Step 6: Final answer
    x = 671.92

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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.