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Finding the Fourth Proportional to 1,187.26, 1,780.74 and 321.64

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Solution

The fourth proportional to 1,187.26, 1,780.74 and 321.64 is: 482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.26 : 1,780.74 = 321.64 : x
  2. Step 2: Convert to fraction form
    1,187.26/1,780.74 = 321.64/x
  3. Step 3: Cross multiply
    1,187.26x = 1,780.74 × 321.64
  4. Step 4: Simplify right side
    1,187.26x = 572,757.21
  5. Step 5: Solve for x
    x = 572,757.21/1,187.26
  6. Step 6: Final answer
    x = 482.42

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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.