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Finding the Fourth Proportional to 1,187.37, 1,781.07 and 321.69

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Solution

The fourth proportional to 1,187.37, 1,781.07 and 321.69 is: 482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.37 : 1,781.07 = 321.69 : x
  2. Step 2: Convert to fraction form
    1,187.37/1,781.07 = 321.69/x
  3. Step 3: Cross multiply
    1,187.37x = 1,781.07 × 321.69
  4. Step 4: Simplify right side
    1,187.37x = 572,952.41
  5. Step 5: Solve for x
    x = 572,952.41/1,187.37
  6. Step 6: Final answer
    x = 482.54

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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.