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Finding the Fourth Proportional to 884.66, 1,220.74 and 511.76

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Solution

The fourth proportional to 884.66, 1,220.74 and 511.76 is: 706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.66 : 1,220.74 = 511.76 : x
  2. Step 2: Convert to fraction form
    884.66/1,220.74 = 511.76/x
  3. Step 3: Cross multiply
    884.66x = 1,220.74 × 511.76
  4. Step 4: Simplify right side
    884.66x = 624,723.34
  5. Step 5: Solve for x
    x = 624,723.34/884.66
  6. Step 6: Final answer
    x = 706.17

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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.