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Finding the Fourth Proportional to 911.61, 1,258.68 and 822.92

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Solution

The fourth proportional to 911.61, 1,258.68 and 822.92 is: 1,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.61 : 1,258.68 = 822.92 : x
  2. Step 2: Convert to fraction form
    911.61/1,258.68 = 822.92/x
  3. Step 3: Cross multiply
    911.61x = 1,258.68 × 822.92
  4. Step 4: Simplify right side
    911.61x = 1,035,792.95
  5. Step 5: Solve for x
    x = 1,035,792.95/911.61
  6. Step 6: Final answer
    x = 1,136.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.