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Finding the Fourth Proportional to 885.90, 1,217.40 and 719.76

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Solution

The fourth proportional to 885.90, 1,217.40 and 719.76 is: 989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.90 : 1,217.40 = 719.76 : x
  2. Step 2: Convert to fraction form
    885.90/1,217.40 = 719.76/x
  3. Step 3: Cross multiply
    885.90x = 1,217.40 × 719.76
  4. Step 4: Simplify right side
    885.90x = 876,235.82
  5. Step 5: Solve for x
    x = 876,235.82/885.90
  6. Step 6: Final answer
    x = 989.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.