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Finding the Fourth Proportional to 884.45, 1,220.51 and 491.50

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Solution

The fourth proportional to 884.45, 1,220.51 and 491.50 is: 678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.45 : 1,220.51 = 491.50 : x
  2. Step 2: Convert to fraction form
    884.45/1,220.51 = 491.50/x
  3. Step 3: Cross multiply
    884.45x = 1,220.51 × 491.50
  4. Step 4: Simplify right side
    884.45x = 599,872.10
  5. Step 5: Solve for x
    x = 599,872.10/884.45
  6. Step 6: Final answer
    x = 678.24

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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.