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Finding the Fourth Proportional to 829.60, 1,244.40 and 694.60

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Solution

The fourth proportional to 829.60, 1,244.40 and 694.60 is: 1,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.60 : 1,244.40 = 694.60 : x
  2. Step 2: Convert to fraction form
    829.60/1,244.40 = 694.60/x
  3. Step 3: Cross multiply
    829.60x = 1,244.40 × 694.60
  4. Step 4: Simplify right side
    829.60x = 864,360.24
  5. Step 5: Solve for x
    x = 864,360.24/829.60
  6. Step 6: Final answer
    x = 1,041.90

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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.