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Finding the Fourth Proportional to 858.60, 1,288.20 and 829.44

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Solution

The fourth proportional to 858.60, 1,288.20 and 829.44 is: 1,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.60 : 1,288.20 = 829.44 : x
  2. Step 2: Convert to fraction form
    858.60/1,288.20 = 829.44/x
  3. Step 3: Cross multiply
    858.60x = 1,288.20 × 829.44
  4. Step 4: Simplify right side
    858.60x = 1,068,487.72
  5. Step 5: Solve for x
    x = 1,068,487.72/858.60
  6. Step 6: Final answer
    x = 1,244.45

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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.