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Finding the Fourth Proportional to 884.64, 1,220.40 and 768

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Solution

The fourth proportional to 884.64, 1,220.40 and 768 is: 1,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.64 : 1,220.40 = 768 : x
  2. Step 2: Convert to fraction form
    884.64/1,220.40 = 768/x
  3. Step 3: Cross multiply
    884.64x = 1,220.40 × 768
  4. Step 4: Simplify right side
    884.64x = 937,267.20
  5. Step 5: Solve for x
    x = 937,267.20/884.64
  6. Step 6: Final answer
    x = 1,059.49

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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.