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Finding the Fourth Proportional to 1,193.64, 1,789.38 and 828.60

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Solution

The fourth proportional to 1,193.64, 1,789.38 and 828.60 is: 1,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.64 : 1,789.38 = 828.60 : x
  2. Step 2: Convert to fraction form
    1,193.64/1,789.38 = 828.60/x
  3. Step 3: Cross multiply
    1,193.64x = 1,789.38 × 828.60
  4. Step 4: Simplify right side
    1,193.64x = 1,482,680.27
  5. Step 5: Solve for x
    x = 1,482,680.27/1,193.64
  6. Step 6: Final answer
    x = 1,242.15

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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.