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Finding the Fourth Proportional to 829.68, 1,244.88 and 738.60

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Solution

The fourth proportional to 829.68, 1,244.88 and 738.60 is: 1,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.68 : 1,244.88 = 738.60 : x
  2. Step 2: Convert to fraction form
    829.68/1,244.88 = 738.60/x
  3. Step 3: Cross multiply
    829.68x = 1,244.88 × 738.60
  4. Step 4: Simplify right side
    829.68x = 919,468.37
  5. Step 5: Solve for x
    x = 919,468.37/829.68
  6. Step 6: Final answer
    x = 1,108.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.